Atkin-Lehner |
2- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
58100p |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28944 |
Modular degree for the optimal curve |
Δ |
-482230000 = -1 · 24 · 54 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -1 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1025,-12675] |
[a1,a2,a3,a4,a6] |
j |
-11909548800/48223 |
j-invariant |
L |
0.84355488970409 |
L(r)(E,1)/r! |
Ω |
0.42177744518476 |
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 |
58100e1 |
Quadratic twists by: 5 |