Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11928l |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2624 |
Modular degree for the optimal curve |
Δ |
-1526784 = -1 · 210 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 5 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-192] |
[a1,a2,a3,a4,a6] |
j |
-19307236/1491 |
j-invariant |
L |
1.7349525659707 |
L(r)(E,1)/r! |
Ω |
0.86747628298533 |
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 |
23856c1 95424h1 35784g1 83496p1 |
Quadratic twists by: -4 8 -3 -7 |