Atkin-Lehner |
3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
45123a |
Isogeny class |
Conductor |
45123 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-55476806191658163 = -1 · 317 · 136 · 89 |
Discriminant |
Eigenvalues |
0 3+ -4 2 -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-74585,13804832] |
[a1,a2,a3,a4,a6] |
Generators |
[1036:32363:1] |
Generators of the group modulo torsion |
j |
-9506571157504/11493474507 |
j-invariant |
L |
2.8616561971001 |
L(r)(E,1)/r! |
Ω |
0.31977772161571 |
Real period |
R |
4.4744458473384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
267b1 |
Quadratic twists by: 13 |