Atkin-Lehner |
2+ 3+ 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274a |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4806144 |
Modular degree for the optimal curve |
Δ |
1850371395347091456 = 212 · 39 · 77 · 29 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13451901,18993191237] |
[a1,a2,a3,a4,a6] |
j |
13676766271590059472771/94008606175232 |
j-invariant |
L |
0.47163815322327 |
L(r)(E,1)/r! |
Ω |
0.23581939231017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113274be1 |
Quadratic twists by: -3 |