Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200f |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
5.648681437E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -5 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1330208,466403588] |
[a1,a2,a3,a4,a6] |
j |
26030511662500/5648681437 |
j-invariant |
L |
2.2479821448846 |
L(r)(E,1)/r! |
Ω |
0.18733184553613 |
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 |
26600f1 53200bg1 |
Quadratic twists by: -4 5 |