Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10830s |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
3.9651864303084E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-853231,15014069] |
[a1,a2,a3,a4,a6] |
j |
212883113611/122880000 |
j-invariant |
L |
2.7797006652613 |
L(r)(E,1)/r! |
Ω |
0.17373129157883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640dd1 32490t1 54150t1 10830k1 |
Quadratic twists by: -4 -3 5 -19 |