Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270s |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.9406767272723E+21 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4245237,2613988909] |
[a1,a2,a3,a4,a6] |
Generators |
[-11724:-3718013:64] [350:394051:8] |
Generators of the group modulo torsion |
j |
9533657181184921/2186668933120 |
j-invariant |
L |
7.0508335382323 |
L(r)(E,1)/r! |
Ω |
0.1391398538608 |
Real period |
R |
12.668608853922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170f2 |
Quadratic twists by: -31 |