Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338x |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-245683206 = -1 · 2 · 39 · 792 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,-831] |
[a1,a2,a3,a4,a6] |
j |
-27097/54 |
j-invariant |
L |
1.4059833599269 |
L(r)(E,1)/r! |
Ω |
0.7029915415381 |
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 |
37446d1 112338p1 |
Quadratic twists by: -3 -79 |