Atkin-Lehner |
2+ 3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57354h |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
1057148928 = 212 · 33 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-256,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-109:1] |
Generators of the group modulo torsion |
j |
15248154625/8736768 |
j-invariant |
L |
5.1295939044296 |
L(r)(E,1)/r! |
Ω |
1.2952699237829 |
Real period |
R |
0.66004181960168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57354ba1 |
Quadratic twists by: -11 |