Atkin-Lehner |
5+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68425a |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
177494049072265625 = 518 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-154442,11652591] |
[a1,a2,a3,a4,a6] |
Generators |
[15816:1338033:512] |
Generators of the group modulo torsion |
j |
26073631238843889/11359619140625 |
j-invariant |
L |
5.0417218985489 |
L(r)(E,1)/r! |
Ω |
0.28892112949048 |
Real period |
R |
8.7250833961184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685d1 |
Quadratic twists by: 5 |