Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235a |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1512971848635975 = 39 · 52 · 72 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 2 13+ 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319695,-69469750] |
[a1,a2,a3,a4,a6] |
Generators |
[842:15634:1] |
Generators of the group modulo torsion |
j |
38034753147/15925 |
j-invariant |
L |
6.1953614801577 |
L(r)(E,1)/r! |
Ω |
0.20078277077177 |
Real period |
R |
3.8570051705414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235d2 4095f2 |
Quadratic twists by: -3 13 |