Atkin-Lehner |
2- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334bi |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
37955963702272 = 210 · 73 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-87304,-9931712] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:112:1] |
Generators of the group modulo torsion |
j |
41540367914137/21425152 |
j-invariant |
L |
10.409971867165 |
L(r)(E,1)/r! |
Ω |
0.2777502364289 |
Real period |
R |
1.2493204912005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854a1 |
Quadratic twists by: -11 |