Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200cj |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-3088693643750000 = -1 · 24 · 58 · 113 · 135 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11- 13- 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33875,1179375] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1287:1] |
Generators of the group modulo torsion |
j |
687830780160/494190983 |
j-invariant |
L |
7.272792078605 |
L(r)(E,1)/r! |
Ω |
0.2856188119228 |
Real period |
R |
1.6975520694269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300i1 57200bl1 |
Quadratic twists by: -4 5 |