Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544eu |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
-7.0728156513116E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-217164,406497040] |
[a1,a2,a3,a4,a6] |
Generators |
[-822:5440:1] |
Generators of the group modulo torsion |
j |
-23707171994692/1480419781911 |
j-invariant |
L |
6.9544270631217 |
L(r)(E,1)/r! |
Ω |
0.16094500843371 |
Real period |
R |
3.600829837921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bo1 17136l1 22848ct1 |
Quadratic twists by: -4 8 -3 |