Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gp |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-1087187686200000 = -1 · 26 · 35 · 55 · 75 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35761,-3060211] |
[a1,a2,a3,a4,a6] |
j |
-79028701534867456/16987307596875 |
j-invariant |
L |
2.5742009123987 |
L(r)(E,1)/r! |
Ω |
0.17161339639454 |
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 |
73920l1 18480cb1 |
Quadratic twists by: -4 8 |