Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740c |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-9328240 = -1 · 24 · 5 · 17 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 0 3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6,145] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1:1] [6:19:1] |
Generators of the group modulo torsion |
j |
-256/85 |
j-invariant |
L |
8.637210363864 |
L(r)(E,1)/r! |
Ω |
1.8738344849048 |
Real period |
R |
0.76822956973165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122740b1 |
Quadratic twists by: -19 |