Atkin-Lehner |
2+ 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434f |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
568061822412864 = 26 · 33 · 139 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32451,1922445] |
[a1,a2,a3,a4,a6] |
j |
356400829/53568 |
j-invariant |
L |
0.49625870133237 |
L(r)(E,1)/r! |
Ω |
0.49625870133218 |
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 |
94302cl1 31434r1 |
Quadratic twists by: -3 13 |