Atkin-Lehner |
5+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
65975h |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1724715769765625 = 57 · 74 · 13 · 294 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30130,251872] |
[a1,a2,a3,a4,a6] |
Generators |
[4:360:1] |
Generators of the group modulo torsion |
j |
193592071931049/110381809265 |
j-invariant |
L |
3.3379053770484 |
L(r)(E,1)/r! |
Ω |
0.40485436673615 |
Real period |
R |
1.0305882963765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195e3 |
Quadratic twists by: 5 |