Atkin-Lehner |
2+ 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328bf |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
5715001344 = 218 · 3 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449,-609] |
[a1,a2,a3,a4,a6] |
j |
38272753/21801 |
j-invariant |
L |
2.2426793625584 |
L(r)(E,1)/r! |
Ω |
1.1213398577624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bu1 1677a1 |
Quadratic twists by: -4 8 |