Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ca |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.0557846544076E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-494809356,4207535177200] |
[a1,a2,a3,a4,a6] |
Generators |
[12637509:44925357785:1] |
Generators of the group modulo torsion |
j |
70108386184777836280897/552468975892674624 |
j-invariant |
L |
5.7756467928518 |
L(r)(E,1)/r! |
Ω |
0.059865875109017 |
Real period |
R |
12.059555595485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994032 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544dq4 2142g3 22848bn4 |
Quadratic twists by: -4 8 -3 |