Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66836h |
Isogeny class |
Conductor |
66836 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-103377500524144 = -1 · 24 · 76 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39053,-3010511] |
[a1,a2,a3,a4,a6] |
Generators |
[1992:88451:1] |
Generators of the group modulo torsion |
j |
-3499279992576/54918391 |
j-invariant |
L |
4.5352490670615 |
L(r)(E,1)/r! |
Ω |
0.16964888419248 |
Real period |
R |
4.4555249987214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1364b1 |
Quadratic twists by: -7 |