Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77924k |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
1154575907408 = 24 · 7 · 117 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,-85296] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:121:1] [320:5612:1] |
Generators of the group modulo torsion |
j |
256000000/40733 |
j-invariant |
L |
7.0939483125554 |
L(r)(E,1)/r! |
Ω |
0.60551466004268 |
Real period |
R |
1.9525947046234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7084h1 |
Quadratic twists by: -11 |