Atkin-Lehner |
2- 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bf |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
278704864152 = 23 · 34 · 11 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-642549,-198515133] |
[a1,a2,a3,a4,a6] |
j |
29338811070690492320977/278704864152 |
j-invariant |
L |
2.023504779114 |
L(r)(E,1)/r! |
Ω |
0.16862539825934 |
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 |
95238u4 |
Quadratic twists by: -3 |