Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93100v |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-291353042540000000 = -1 · 28 · 57 · 79 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173133,38048137] |
[a1,a2,a3,a4,a6] |
j |
-1219600384/619115 |
j-invariant |
L |
2.2930283685074 |
L(r)(E,1)/r! |
Ω |
0.28662853103418 |
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 |
18620n1 13300a1 |
Quadratic twists by: 5 -7 |