Atkin-Lehner |
2+ 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10906b |
Isogeny class |
Conductor |
10906 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
11472433944272056 = 23 · 713 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3 -1 7+ 0 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-667030,209787932] |
[a1,a2,a3,a4,a6] |
j |
32821632562202351169849/11472433944272056 |
j-invariant |
L |
3.1621900434527 |
L(r)(E,1)/r! |
Ω |
0.39527375543158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248y1 98154bv1 76342h1 |
Quadratic twists by: -4 -3 -7 |