Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66792v |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2095076287883361024 = -1 · 28 · 38 · 119 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-819452,-293615100] |
[a1,a2,a3,a4,a6] |
Generators |
[457220:26702522:125] |
Generators of the group modulo torsion |
j |
-100813958768/3470769 |
j-invariant |
L |
4.493802360558 |
L(r)(E,1)/r! |
Ω |
0.079179083238102 |
Real period |
R |
7.0943647249139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66792f2 |
Quadratic twists by: -11 |