Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bd |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-70470000 = -1 · 24 · 35 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190,-1025] |
[a1,a2,a3,a4,a6] |
j |
-47659369216/4404375 |
j-invariant |
L |
2.5572453282283 |
L(r)(E,1)/r! |
Ω |
0.63931133205707 |
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 |
1740h1 27840di1 20880bt1 34800dj1 |
Quadratic twists by: -4 8 -3 5 |