Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620bg |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-7302960 = -1 · 24 · 34 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
917504/9315 |
j-invariant |
L |
6.0223625818524 |
L(r)(E,1)/r! |
Ω |
1.1607330929107 |
Real period |
R |
1.2971032312843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620l1 |
Quadratic twists by: -7 |