Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478u |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7354368 |
Modular degree for the optimal curve |
Δ |
2.5416545020619E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-175031820,891343151824] |
[a1,a2,a3,a4,a6] |
Generators |
[632:883412:1] |
Generators of the group modulo torsion |
j |
47898112923787681/2052864 |
j-invariant |
L |
5.0802913340204 |
L(r)(E,1)/r! |
Ω |
0.15770641590789 |
Real period |
R |
2.6844666320521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826v1 71478co1 |
Quadratic twists by: -3 -19 |