Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91960p |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
789888 |
Modular degree for the optimal curve |
Δ |
-25231926651852800 = -1 · 211 · 52 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11- 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239136,45575264] |
[a1,a2,a3,a4,a6] |
Generators |
[65454:219005:216] |
Generators of the group modulo torsion |
j |
-28471058/475 |
j-invariant |
L |
6.2061300126867 |
L(r)(E,1)/r! |
Ω |
0.37804907162538 |
Real period |
R |
8.2081011106352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91960f1 |
Quadratic twists by: -11 |