Atkin-Lehner |
2+ 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350v |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
48048000 |
Modular degree for the optimal curve |
Δ |
-1.8884041625237E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2086266276,36677638625698] |
[a1,a2,a3,a4,a6] |
Generators |
[26318:3567:1] |
Generators of the group modulo torsion |
j |
-64270680662155941646665331249/120857866401516355584 |
j-invariant |
L |
5.5154464346339 |
L(r)(E,1)/r! |
Ω |
0.07143237490606 |
Real period |
R |
1.9797984259688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894i1 |
Quadratic twists by: 5 |