Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760bb |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1684139613618176000 = -1 · 221 · 53 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11+ 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,248799,40293215] |
[a1,a2,a3,a4,a6] |
j |
6497225437879799/6424482779000 |
j-invariant |
L |
0.70007711682431 |
L(r)(E,1)/r! |
Ω |
0.17501927924527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760g2 11440u2 |
Quadratic twists by: -4 8 |