Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640n |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
20116026000 = 24 · 39 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-896,7455] |
[a1,a2,a3,a4,a6] |
Generators |
[1:81:1] |
Generators of the group modulo torsion |
j |
4977512644864/1257251625 |
j-invariant |
L |
9.991004940374 |
L(r)(E,1)/r! |
Ω |
1.1393988935294 |
Real period |
R |
0.97429588299925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320q1 |
Quadratic twists by: -4 |