Atkin-Lehner |
3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775f |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
132013388925 = 39 · 52 · 11 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2160,-34459] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:509:8] [-21:40:1] |
Generators of the group modulo torsion |
j |
2264924160/268279 |
j-invariant |
L |
8.3498427547128 |
L(r)(E,1)/r! |
Ω |
0.70572293930292 |
Real period |
R |
5.9158079536063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775b1 71775q2 |
Quadratic twists by: -3 5 |