Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fk |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
58016219369472 = 212 · 33 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159609,24593913] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:1372:1] |
Generators of the group modulo torsion |
j |
2720547136/351 |
j-invariant |
L |
3.525654763311 |
L(r)(E,1)/r! |
Ω |
0.60304501619621 |
Real period |
R |
2.9232103167405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998233054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304hj1 61152v1 122304if1 |
Quadratic twists by: -4 8 -7 |