Atkin-Lehner |
3- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265f |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3429866315385 = 38 · 5 · 37 · 414 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80235,8767336] |
[a1,a2,a3,a4,a6] |
Generators |
[34260:681029:64] |
Generators of the group modulo torsion |
j |
78359345404950961/4704892065 |
j-invariant |
L |
6.6983591345289 |
L(r)(E,1)/r! |
Ω |
0.75071387765582 |
Real period |
R |
8.9226526023886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755f4 |
Quadratic twists by: -3 |