Atkin-Lehner |
2+ 3+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630a |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1087560 = -1 · 23 · 33 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 -4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8040,-275480] |
[a1,a2,a3,a4,a6] |
j |
-2128915766263707/40280 |
j-invariant |
L |
0.50417688342148 |
L(r)(E,1)/r! |
Ω |
0.25208848852883 |
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 |
90630bp1 |
Quadratic twists by: -3 |