Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645d |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
772335182217300625 = 54 · 78 · 118 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3804565,2856950256] |
[a1,a2,a3,a4,a6] |
Generators |
[1144208:173972021:4096] |
Generators of the group modulo torsion |
j |
29220958012401/3705625 |
j-invariant |
L |
4.4776830549041 |
L(r)(E,1)/r! |
Ω |
0.27321815286278 |
Real period |
R |
8.1943366646524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4235g2 2695c2 |
Quadratic twists by: -7 -11 |