Atkin-Lehner |
2- 3+ 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130t |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
276939219510 = 2 · 312 · 5 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2276,32303] |
[a1,a2,a3,a4,a6] |
j |
1303924396765249/276939219510 |
j-invariant |
L |
3.694639281232 |
L(r)(E,1)/r! |
Ω |
0.92365982031547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390r2 |
Quadratic twists by: -3 |