Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950cg |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-4467720775000000 = -1 · 26 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,3215281] |
[a1,a2,a3,a4,a6] |
Generators |
[1105:36197:1] |
Generators of the group modulo torsion |
j |
-1771561/2430400 |
j-invariant |
L |
15.212650155302 |
L(r)(E,1)/r! |
Ω |
0.35126709240508 |
Real period |
R |
1.8044970244906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190e1 10850w1 |
Quadratic twists by: 5 -7 |