Atkin-Lehner |
2- 3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482bz |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
6049651347012 = 22 · 3 · 79 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12643,-539491] |
[a1,a2,a3,a4,a6] |
Generators |
[547728:1478533:4096] |
Generators of the group modulo torsion |
j |
1899713166625/51421188 |
j-invariant |
L |
10.308832521684 |
L(r)(E,1)/r! |
Ω |
0.4509771866352 |
Real period |
R |
5.7147195208855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926bl1 |
Quadratic twists by: -7 |