Atkin-Lehner |
2+ 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57354l |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-3289481316 = -1 · 22 · 32 · 114 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- -1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-245,-3148] |
[a1,a2,a3,a4,a6] |
Generators |
[21:22:1] [120:1243:1] |
Generators of the group modulo torsion |
j |
-110433433/224676 |
j-invariant |
L |
7.1034569399973 |
L(r)(E,1)/r! |
Ω |
0.56684440301845 |
Real period |
R |
0.5221492369404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57354y1 |
Quadratic twists by: -11 |