Atkin-Lehner |
2- 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bf |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
1102400 |
Modular degree for the optimal curve |
Δ |
-18184928857251840 = -1 · 213 · 33 · 5 · 23 · 595 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 0 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128528,18917107] |
[a1,a2,a3,a4,a6] |
Generators |
[277:1985:1] |
Generators of the group modulo torsion |
j |
-8696610690294770307/673515883601920 |
j-invariant |
L |
11.568508971677 |
L(r)(E,1)/r! |
Ω |
0.38038455452513 |
Real period |
R |
0.23394359522335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130f1 |
Quadratic twists by: -3 |