Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62868c |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
-4635810517255779888 = -1 · 24 · 37 · 1310 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-171929,-107105922] |
[a1,a2,a3,a4,a6] |
Generators |
[77014995205741049386:3185867526592333823149:41912823638241928] |
Generators of the group modulo torsion |
j |
-7277690011648/60026853627 |
j-invariant |
L |
5.7884931894475 |
L(r)(E,1)/r! |
Ω |
0.10311256177462 |
Real period |
R |
28.068806991501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4836a1 |
Quadratic twists by: 13 |