Atkin-Lehner |
2- 3+ 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518w |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
41451155923968 = 210 · 39 · 72 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25625,1554553] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-724:1] |
Generators of the group modulo torsion |
j |
94538379328875/2105936896 |
j-invariant |
L |
9.4463896254112 |
L(r)(E,1)/r! |
Ω |
0.6431795926783 |
Real period |
R |
0.7343508502015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518c1 |
Quadratic twists by: -3 |