Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68952q |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
6241985468505326592 = 210 · 32 · 1310 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2414728,1440071164] |
[a1,a2,a3,a4,a6] |
j |
315042014258500/1262881737 |
j-invariant |
L |
0.9581453380702 |
L(r)(E,1)/r! |
Ω |
0.23953633682842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304a1 |
Quadratic twists by: 13 |