Atkin-Lehner |
5- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22015b |
Isogeny class |
Conductor |
22015 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
9936 |
Modular degree for the optimal curve |
Δ |
-3371046875 = -1 · 56 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
0 1 5- 7- -6 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,35,-2781] |
[a1,a2,a3,a4,a6] |
j |
4607442944/3371046875 |
j-invariant |
L |
1.3175108965151 |
L(r)(E,1)/r! |
Ω |
0.65875544825754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110075c1 |
Quadratic twists by: 5 |