Atkin-Lehner |
2- 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30906o |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
480650112 = 27 · 37 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1382,20085] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:195:1] [17:-45:1] |
Generators of the group modulo torsion |
j |
400152624409/659328 |
j-invariant |
L |
9.4500462805182 |
L(r)(E,1)/r! |
Ω |
1.6595807491197 |
Real period |
R |
0.20336561089582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10302b1 |
Quadratic twists by: -3 |