Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200cd |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
30561300000000 = 28 · 34 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7833,-18963] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:450:1] |
Generators of the group modulo torsion |
j |
531573760/305613 |
j-invariant |
L |
4.5030892598859 |
L(r)(E,1)/r! |
Ω |
0.55171920798046 |
Real period |
R |
0.68016018455581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400dg1 46200bj1 |
Quadratic twists by: -4 5 |