Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950a |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-86562090015625000 = -1 · 23 · 59 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -5 -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-247067,-49280659] |
[a1,a2,a3,a4,a6] |
Generators |
[4349:282638:1] |
Generators of the group modulo torsion |
j |
-18516742209/961000 |
j-invariant |
L |
3.3662936709152 |
L(r)(E,1)/r! |
Ω |
0.10674702482857 |
Real period |
R |
1.3139685776105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190u1 75950v1 |
Quadratic twists by: 5 -7 |