Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168bd |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2075305762816 = -1 · 213 · 117 · 13 |
Discriminant |
Eigenvalues |
2- -2 1 -3 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-69324] |
[a1,a2,a3,a4,a6] |
Generators |
[84:726:1] |
Generators of the group modulo torsion |
j |
-1/286 |
j-invariant |
L |
3.1239907261933 |
L(r)(E,1)/r! |
Ω |
0.37800692846355 |
Real period |
R |
1.0330467813418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146e1 100672ed1 2288g1 |
Quadratic twists by: -4 8 -11 |