Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72520i |
Isogeny class |
Conductor |
72520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-1523554550000 = -1 · 24 · 55 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -4 -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2597,30527] |
[a1,a2,a3,a4,a6] |
Generators |
[2289:25039:27] |
Generators of the group modulo torsion |
j |
1029037824/809375 |
j-invariant |
L |
10.211684958961 |
L(r)(E,1)/r! |
Ω |
0.54513650570201 |
Real period |
R |
4.6830861870126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10360d1 |
Quadratic twists by: -7 |