Atkin-Lehner |
3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6045h |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
58320 |
Modular degree for the optimal curve |
Δ |
-30737464875 = -1 · 39 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3773731,2820401431] |
[a1,a2,a3,a4,a6] |
j |
-5943423068131740751396864/30737464875 |
j-invariant |
L |
1.1342126254724 |
L(r)(E,1)/r! |
Ω |
0.56710631273619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96720bl1 18135q1 30225e1 78585o1 |
Quadratic twists by: -4 -3 5 13 |