Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620n |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-2524954602240 = -1 · 28 · 36 · 5 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2875,47265] |
[a1,a2,a3,a4,a6] |
j |
87228416/83835 |
j-invariant |
L |
3.2022935808603 |
L(r)(E,1)/r! |
Ω |
0.53371559832462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1380c1 |
Quadratic twists by: -7 |