Atkin-Lehner |
2- 3- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
48348g |
Isogeny class |
Conductor |
48348 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
243936 |
Modular degree for the optimal curve |
Δ |
355867324487424 = 28 · 36 · 176 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 3 2 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101799,-12468546] |
[a1,a2,a3,a4,a6] |
j |
625153625235792/1906867951 |
j-invariant |
L |
1.6039638027093 |
L(r)(E,1)/r! |
Ω |
0.26732730043418 |
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 |
5372b1 |
Quadratic twists by: -3 |