Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338r |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
55998598603639644 = 22 · 36 · 797 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -4 -7 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197762,31927493] |
[a1,a2,a3,a4,a6] |
j |
4826809/316 |
j-invariant |
L |
1.3868536388998 |
L(r)(E,1)/r! |
Ω |
0.34671337920645 |
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 |
12482c1 1422f1 |
Quadratic twists by: -3 -79 |