Atkin-Lehner |
2- 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bo |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
8.3118135967724E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20679710,-35924419411] |
[a1,a2,a3,a4,a6] |
Generators |
[-6122883:-13473377:2197] |
Generators of the group modulo torsion |
j |
1341619916042587453161625/11401664741800316928 |
j-invariant |
L |
10.77296394209 |
L(r)(E,1)/r! |
Ω |
0.070833074972875 |
Real period |
R |
6.3370607268307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134u1 |
Quadratic twists by: -3 |