Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200cj |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
12410880000000000 = 222 · 3 · 510 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60208,1918912] |
[a1,a2,a3,a4,a6] |
Generators |
[-2778:71506:27] |
Generators of the group modulo torsion |
j |
603439225/310272 |
j-invariant |
L |
5.1035510351838 |
L(r)(E,1)/r! |
Ω |
0.35290713510494 |
Real period |
R |
7.230728063649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bo1 121200ed1 |
Quadratic twists by: -4 5 |