Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bl |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-373324330373815296 = -1 · 210 · 312 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204771,46219250] |
[a1,a2,a3,a4,a6] |
j |
-31522396/12393 |
j-invariant |
L |
2.2648092310042 |
L(r)(E,1)/r! |
Ω |
0.2831010303735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976bo1 39984d1 119952w1 |
Quadratic twists by: -4 -3 -7 |