Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640cp |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
359040 |
Modular degree for the optimal curve |
Δ |
17387488233360 = 24 · 311 · 5 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 2 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12066,-473085] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:189:1] |
Generators of the group modulo torsion |
j |
12143103177881344/1086718014585 |
j-invariant |
L |
9.4024653112813 |
L(r)(E,1)/r! |
Ω |
0.45812324252827 |
Real period |
R |
0.37316140488658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660e1 |
Quadratic twists by: -4 |