Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800o |
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 |
4.8669389559897 |
L(r)(E,1)/r! |
Ω |
1.2167347433387 |
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 |
72800bl1 72800bz1 |
Quadratic twists by: -4 5 |