Atkin-Lehner |
2- 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22610q |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-7837843774600 = -1 · 23 · 52 · 72 · 17 · 196 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4276,172056] |
[a1,a2,a3,a4,a6] |
j |
-8646555821053249/7837843774600 |
j-invariant |
L |
1.3515856575026 |
L(r)(E,1)/r! |
Ω |
0.67579282875132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113050m2 |
Quadratic twists by: 5 |