Atkin-Lehner |
2- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312m |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26420314112 = 217 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- -2 0 4 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51848,4526836] |
[a1,a2,a3,a4,a6] |
j |
3763294153503625/6450272 |
j-invariant |
L |
2.0327438952042 |
L(r)(E,1)/r! |
Ω |
1.0163719476028 |
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 |
3914e2 125248bj2 |
Quadratic twists by: -4 8 |