Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702u |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-224471145808 = -1 · 24 · 72 · 133 · 194 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 1 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2956,66655] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-155:1] |
Generators of the group modulo torsion |
j |
-21912142977/1722448 |
j-invariant |
L |
7.5807526588588 |
L(r)(E,1)/r! |
Ω |
0.97529588049146 |
Real period |
R |
0.32386550627734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702n1 |
Quadratic twists by: -19 |