Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62192q |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-1767512274571264 = -1 · 212 · 138 · 232 |
Discriminant |
Eigenvalues |
2- 2 3 2 0 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8056,2000816] |
[a1,a2,a3,a4,a6] |
Generators |
[-12070:69966:125] |
Generators of the group modulo torsion |
j |
17303/529 |
j-invariant |
L |
12.115144934315 |
L(r)(E,1)/r! |
Ω |
0.35477005579509 |
Real period |
R |
2.8457740295722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3887a1 62192r1 |
Quadratic twists by: -4 13 |