Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434c |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38613120 |
Modular degree for the optimal curve |
Δ |
7.1481700444048E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -1 5 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3088247698,-66045374170316] |
[a1,a2,a3,a4,a6] |
Generators |
[-80764040708010824831986107396919733309484090583427846626105226209024368241703881561371532521395707492606673072118434821125:-2963880161485183124164282657712614342878035727916686031870571200165372619273655281469889875506107235885413832341555656269:2545535228008183941372038342181504691373418989538592134561891412152271198466711199220879234877082650369748511165989377] |
Generators of the group modulo torsion |
j |
3993128379105984704358409/876290405691949056 |
j-invariant |
L |
3.832787311961 |
L(r)(E,1)/r! |
Ω |
0.020252434777358 |
Real period |
R |
189.2506927733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302by1 31434p1 |
Quadratic twists by: -3 13 |