Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642g |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
705923237167104 = 214 · 3 · 118 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56146,4935220] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:2374:1] [17:1988:1] |
Generators of the group modulo torsion |
j |
11049335260417/398475264 |
j-invariant |
L |
5.2605044421618 |
L(r)(E,1)/r! |
Ω |
0.50474131398467 |
Real period |
R |
5.2110896179984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422l1 |
Quadratic twists by: -11 |