Atkin-Lehner |
3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37323i |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
814080 |
Modular degree for the optimal curve |
Δ |
-4.8557289456485E+19 |
Discriminant |
Eigenvalues |
0 3- -3 2 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-126894,-335713923] |
[a1,a2,a3,a4,a6] |
j |
-309969845320056832/66608078815480059 |
j-invariant |
L |
1.4345427795128 |
L(r)(E,1)/r! |
Ω |
0.08965892372026 |
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 |
12441h1 |
Quadratic twists by: -3 |