Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dt |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
88748222054400 = 222 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13068,353808] |
[a1,a2,a3,a4,a6] |
Generators |
[124:800:1] |
Generators of the group modulo torsion |
j |
47832147/17200 |
j-invariant |
L |
7.8115130034434 |
L(r)(E,1)/r! |
Ω |
0.55366839010547 |
Real period |
R |
3.52716224574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840a1 30960x1 123840ee1 |
Quadratic twists by: -4 8 -3 |