Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136bn |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
2729241635979264 = 219 · 3 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 -1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-494720,134074368] |
[a1,a2,a3,a4,a6] |
j |
81014113783/16512 |
j-invariant |
L |
1.7655577487226 |
L(r)(E,1)/r! |
Ω |
0.44138949053637 |
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 |
12642bh1 101136cw1 |
Quadratic twists by: -4 -7 |