Atkin-Lehner |
2- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35332a |
Isogeny class |
Conductor |
35332 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
113760 |
Modular degree for the optimal curve |
Δ |
-364176251648 = -1 · 28 · 117 · 73 |
Discriminant |
Eigenvalues |
2- 3 -4 3 11- -3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,968,-26620] |
[a1,a2,a3,a4,a6] |
j |
221184/803 |
j-invariant |
L |
2.9153121510471 |
L(r)(E,1)/r! |
Ω |
0.48588535850644 |
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 |
3212a1 |
Quadratic twists by: -11 |