Atkin-Lehner |
2- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688ba |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-39153938432 = -1 · 212 · 73 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 1 0 7- 2 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-10813] |
[a1,a2,a3,a4,a6] |
j |
-4096000000/9559067 |
j-invariant |
L |
2.7837606741387 |
L(r)(E,1)/r! |
Ω |
0.46396016342593 |
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 |
6293a1 |
Quadratic twists by: -4 |