Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200s |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-13085393750000 = -1 · 24 · 58 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 11- 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5875,245625] |
[a1,a2,a3,a4,a6] |
Generators |
[64:363:1] |
Generators of the group modulo torsion |
j |
-3588122880/2093663 |
j-invariant |
L |
5.2974255739568 |
L(r)(E,1)/r! |
Ω |
0.65709792416409 |
Real period |
R |
1.6123702051049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600i1 57200j1 |
Quadratic twists by: -4 5 |