Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
111630o |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
32793600 |
Modular degree for the optimal curve |
Δ |
-4.6558044169154E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9358237,-103226679394] |
[a1,a2,a3,a4,a6] |
j |
7750636739/398131200 |
j-invariant |
L |
1.4788366303473 |
L(r)(E,1)/r! |
Ω |
0.036970922625905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111630bc1 |
Quadratic twists by: 61 |