Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950cz |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
210672 |
Modular degree for the optimal curve |
Δ |
-228747303680000 = -1 · 211 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3037,726081] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:798:1] |
Generators of the group modulo torsion |
j |
859775/63488 |
j-invariant |
L |
6.6254924809923 |
L(r)(E,1)/r! |
Ω |
0.42649538311134 |
Real period |
R |
0.47074952599644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950b1 75950dj1 |
Quadratic twists by: 5 -7 |