Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28600i |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40800 |
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] |
j |
-3588122880/2093663 |
j-invariant |
L |
0.53106357746613 |
L(r)(E,1)/r! |
Ω |
0.26553178873282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200s1 28600m1 |
Quadratic twists by: -4 5 |