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 |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-155956805632 = -1 · 222 · 192 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 4 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,71412] |
[a1,a2,a3,a4,a6] |
j |
-891666015625/38075392 |
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 |
3914e1 125248bj1 |
Quadratic twists by: -4 8 |