Atkin-Lehner |
2+ 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520o |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-4449280 = -1 · 210 · 5 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 11- -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6960,221188] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-2:1] |
Generators of the group modulo torsion |
j |
-36417813831364/4345 |
j-invariant |
L |
1.6056828252578 |
L(r)(E,1)/r! |
Ω |
1.9007939428211 |
Real period |
R |
0.4223716176651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34760p1 |
Quadratic twists by: -4 |