Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760bj |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1417461760 = -1 · 214 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-608,-6048] |
[a1,a2,a3,a4,a6] |
Generators |
[89:803:1] |
Generators of the group modulo torsion |
j |
-1517101056/86515 |
j-invariant |
L |
4.3692429731745 |
L(r)(E,1)/r! |
Ω |
0.47913576598858 |
Real period |
R |
3.0396693959673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760a1 11440o1 |
Quadratic twists by: -4 8 |