Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
119652f |
Isogeny class |
Conductor |
119652 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
206366889995826768 = 24 · 310 · 137 · 592 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2562941,-1579972068] |
[a1,a2,a3,a4,a6] |
Generators |
[25393:4038255:1] |
Generators of the group modulo torsion |
j |
24107912751087616/2672144397 |
j-invariant |
L |
13.132046499836 |
L(r)(E,1)/r! |
Ω |
0.1193212451933 |
Real period |
R |
1.8342705066894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9204e1 |
Quadratic twists by: 13 |