Atkin-Lehner |
11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75647c |
Isogeny class |
Conductor |
75647 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
248802983 = 112 · 132 · 233 |
Discriminant |
Eigenvalues |
1 0 2 -4 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-191,-630] |
[a1,a2,a3,a4,a6] |
Generators |
[18:30:1] |
Generators of the group modulo torsion |
j |
63521199/20449 |
j-invariant |
L |
5.1113810558971 |
L(r)(E,1)/r! |
Ω |
1.3166835057204 |
Real period |
R |
1.9410059561594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75647a2 |
Quadratic twists by: -23 |