Atkin-Lehner |
3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35475h |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3658359375 = 32 · 57 · 112 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31218001,67133441273] |
[a1,a2,a3,a4,a6] |
j |
215337138023212870452481/234135 |
j-invariant |
L |
3.3637114898117 |
L(r)(E,1)/r! |
Ω |
0.4204639362283 |
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 |
106425j4 7095c4 |
Quadratic twists by: -3 5 |