Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694k |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
222208 |
Modular degree for the optimal curve |
Δ |
8295410283776 = 28 · 79 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11- 0 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10511,386597] |
[a1,a2,a3,a4,a6] |
Generators |
[8870:3797:125] |
Generators of the group modulo torsion |
j |
3183010111/205568 |
j-invariant |
L |
9.0335357979174 |
L(r)(E,1)/r! |
Ω |
0.72312492791864 |
Real period |
R |
3.1230896110596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78694m1 |
Quadratic twists by: -7 |