Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136a |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
3581463328464 = 24 · 3 · 79 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5259,-113406] |
[a1,a2,a3,a4,a6] |
j |
24918016/5547 |
j-invariant |
L |
0.56953279949154 |
L(r)(E,1)/r! |
Ω |
0.56953278937694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50568x1 101136n1 |
Quadratic twists by: -4 -7 |