Atkin-Lehner |
2- 3- 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130bm |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1747416499200 = 210 · 37 · 52 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3038,-9619] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:247:1] |
Generators of the group modulo torsion |
j |
4252315368601/2397004800 |
j-invariant |
L |
10.104817195935 |
L(r)(E,1)/r! |
Ω |
0.69251920281494 |
Real period |
R |
0.72956945445786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710m1 |
Quadratic twists by: -3 |