Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672cg |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-8196068279664 = -1 · 24 · 310 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 2 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15393,747871] |
[a1,a2,a3,a4,a6] |
Generators |
[110:621:1] |
Generators of the group modulo torsion |
j |
-34581673751296/702680751 |
j-invariant |
L |
6.7363343710797 |
L(r)(E,1)/r! |
Ω |
0.73713575469817 |
Real period |
R |
1.1423157674499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25668c1 34224bg1 |
Quadratic twists by: -4 -3 |