Atkin-Lehner |
2- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123284b |
Isogeny class |
Conductor |
123284 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
322053313792 = 28 · 76 · 172 · 37 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -1 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7709,-256535] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:34:1] |
Generators of the group modulo torsion |
j |
1682464768/10693 |
j-invariant |
L |
3.2858462637443 |
L(r)(E,1)/r! |
Ω |
0.50969647492187 |
Real period |
R |
1.0744454358722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998684802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2516a1 |
Quadratic twists by: -7 |