Atkin-Lehner |
2- 3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826r |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
11094146344512 = 26 · 33 · 76 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6155,-92581] |
[a1,a2,a3,a4,a6] |
j |
954944140921875/410894309056 |
j-invariant |
L |
3.3625852077889 |
L(r)(E,1)/r! |
Ω |
0.56043086819669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
56826c3 |
Quadratic twists by: -3 |