Atkin-Lehner |
2+ 3- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630u |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-407926667004410880 = -1 · 210 · 312 · 5 · 19 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7280910,-7560067244] |
[a1,a2,a3,a4,a6] |
j |
-58553546605986960833761/559570187934720 |
j-invariant |
L |
1.4705265138752 |
L(r)(E,1)/r! |
Ω |
0.045953954670576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30210x1 |
Quadratic twists by: -3 |