Atkin-Lehner |
2- 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282bf |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
125664 |
Modular degree for the optimal curve |
Δ |
-375759506282496 = -1 · 211 · 3 · 78 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 1 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20287,-1453159] |
[a1,a2,a3,a4,a6] |
j |
-160174810033/65181696 |
j-invariant |
L |
4.314026701101 |
L(r)(E,1)/r! |
Ω |
0.19609212277738 |
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 |
90846x1 30282y1 |
Quadratic twists by: -3 -7 |