Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778p |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
17884800 |
Modular degree for the optimal curve |
Δ |
4.0093994313013E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 11- -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91700700,-323979746972] |
[a1,a2,a3,a4,a6] |
Generators |
[-4972:97620:1] |
Generators of the group modulo torsion |
j |
48137723387280301310353/2263201454142007038 |
j-invariant |
L |
6.4526061115067 |
L(r)(E,1)/r! |
Ω |
0.048929376330613 |
Real period |
R |
2.8668676452065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798m1 |
Quadratic twists by: -11 |