Atkin-Lehner |
2- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87248o |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
848748544 = 213 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 0 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1272,-17836] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:2:1] [46:152:1] |
Generators of the group modulo torsion |
j |
55611739513/207214 |
j-invariant |
L |
9.9195402421421 |
L(r)(E,1)/r! |
Ω |
0.7995518845466 |
Real period |
R |
1.5507968328698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906e1 |
Quadratic twists by: -4 |