Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bl |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
11023667200 = 212 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11080,-448880] |
[a1,a2,a3,a4,a6] |
j |
1469071848960/107653 |
j-invariant |
L |
1.861343454731 |
L(r)(E,1)/r! |
Ω |
0.4653358626479 |
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 |
72800o1 72800bf1 |
Quadratic twists by: -4 5 |