Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114308f |
Isogeny class |
Conductor |
114308 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
52973162495632 = 24 · 17 · 417 |
Discriminant |
Eigenvalues |
2- 1 -2 3 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24094,1388257] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:1681:1] |
Generators of the group modulo torsion |
j |
20353792/697 |
j-invariant |
L |
9.0002998235541 |
L(r)(E,1)/r! |
Ω |
0.62679968229091 |
Real period |
R |
1.1965943902884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788a1 |
Quadratic twists by: 41 |