Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800bf |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
172244800000000 = 212 · 58 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-277000,-56110000] |
[a1,a2,a3,a4,a6] |
j |
1469071848960/107653 |
j-invariant |
L |
7.4917628780422 |
L(r)(E,1)/r! |
Ω |
0.20810452424984 |
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 |
72800bz1 72800bl1 |
Quadratic twists by: -4 5 |