Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13904i |
Isogeny class |
Conductor |
13904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
2.4620848253815E+21 |
Discriminant |
Eigenvalues |
2- -3 1 -1 11- 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3368004787,-75232789243022] |
[a1,a2,a3,a4,a6] |
Generators |
[-469000325281:2410582042:13997521] |
Generators of the group modulo torsion |
j |
1031530003248877226947940527881/601094928071655424 |
j-invariant |
L |
3.3626502430369 |
L(r)(E,1)/r! |
Ω |
0.019817842823308 |
Real period |
R |
14.139826220483 |
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 |
1738b1 55616u1 125136n1 |
Quadratic twists by: -4 8 -3 |