Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1456l |
Isogeny class |
Conductor |
1456 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-89808932175872 = -1 · 223 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 4 7- 1 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73736,-7695632] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
2.0277970909493 |
L(r)(E,1)/r! |
Ω |
0.14484264935352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
182c1 5824ba1 13104cl1 36400bf1 |
Quadratic twists by: -4 8 -3 5 |