Atkin-Lehner |
2- 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93808ba |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26304 |
Modular degree for the optimal curve |
Δ |
124858448 = 24 · 114 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -2 2 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,262] |
[a1,a2,a3,a4,a6] |
Generators |
[-470:3396:125] |
Generators of the group modulo torsion |
j |
17903239168/7803653 |
j-invariant |
L |
4.9098688024212 |
L(r)(E,1)/r! |
Ω |
1.6729713220668 |
Real period |
R |
5.8696389500543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999699738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23452c1 |
Quadratic twists by: -4 |