Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544eq |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
2487324672 = 212 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10020,386048] |
[a1,a2,a3,a4,a6] |
Generators |
[62:56:1] |
Generators of the group modulo torsion |
j |
37259704000/833 |
j-invariant |
L |
4.8711101484579 |
L(r)(E,1)/r! |
Ω |
1.3378696302231 |
Real period |
R |
0.91023632606355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544du1 34272s1 7616l1 |
Quadratic twists by: -4 8 -3 |