Atkin-Lehner |
2- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45292b |
Isogeny class |
Conductor |
45292 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-82789427968 = -1 · 28 · 136 · 67 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 4 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,451,-13495] |
[a1,a2,a3,a4,a6] |
Generators |
[295:5070:1] |
Generators of the group modulo torsion |
j |
8192/67 |
j-invariant |
L |
7.2216623058497 |
L(r)(E,1)/r! |
Ω |
0.53609398821017 |
Real period |
R |
2.2451480724974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
268a1 |
Quadratic twists by: 13 |