Atkin-Lehner |
2- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
65758l |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
111936 |
Modular degree for the optimal curve |
Δ |
-36294207488 = -1 · 211 · 74 · 112 · 61 |
Discriminant |
Eigenvalues |
2- -3 -2 7+ 11- -4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1161,18057] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-152:1] [-25:188:1] |
Generators of the group modulo torsion |
j |
-72024039297/15116288 |
j-invariant |
L |
8.4504265684143 |
L(r)(E,1)/r! |
Ω |
1.1080660522242 |
Real period |
R |
0.11554975980953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65758x1 |
Quadratic twists by: -7 |