Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176r |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-355658688 = -1 · 26 · 38 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,-740] |
[a1,a2,a3,a4,a6] |
j |
4410944/7623 |
j-invariant |
L |
1.7881575306888 |
L(r)(E,1)/r! |
Ω |
0.89407876534441 |
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 |
22176g1 44352bb1 7392d1 |
Quadratic twists by: -4 8 -3 |