Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282o |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-581656656 = -1 · 24 · 3 · 76 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 6 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,72,-1130] |
[a1,a2,a3,a4,a6] |
j |
357911/4944 |
j-invariant |
L |
3.2008893133752 |
L(r)(E,1)/r! |
Ω |
0.80022232834439 |
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 |
90846dm1 618a1 |
Quadratic twists by: -3 -7 |