Atkin-Lehner |
2+ 3- 5- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630be |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-84568665600 = -1 · 29 · 38 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 6 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1134,-20012] |
[a1,a2,a3,a4,a6] |
j |
-221335335649/116006400 |
j-invariant |
L |
1.605798281773 |
L(r)(E,1)/r! |
Ω |
0.40144957223944 |
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 |
30210q1 |
Quadratic twists by: -3 |