Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560g |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
7.5766506539966E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4983398,-892255847] |
[a1,a2,a3,a4,a6] |
Generators |
[-24069408:-425723453:12167] |
Generators of the group modulo torsion |
j |
7270967611425540096/4025029246953125 |
j-invariant |
L |
6.799028029583 |
L(r)(E,1)/r! |
Ω |
0.10823478105009 |
Real period |
R |
10.469567546283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998870669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2440b1 |
Quadratic twists by: -7 |