Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176o |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
114759203328 = 29 · 37 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,41582] |
[a1,a2,a3,a4,a6] |
j |
3989418056/307461 |
j-invariant |
L |
2.0576644126246 |
L(r)(E,1)/r! |
Ω |
1.0288322063123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22176t3 44352dm3 7392b2 |
Quadratic twists by: -4 8 -3 |