Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dt |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3804084505460736 = -1 · 214 · 39 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107904,13961824] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1323:1] |
Generators of the group modulo torsion |
j |
-11632923639808/318495051 |
j-invariant |
L |
5.0350885590424 |
L(r)(E,1)/r! |
Ω |
0.44056771087094 |
Real period |
R |
1.4285796584361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544cf1 17136ba1 22848cq1 |
Quadratic twists by: -4 8 -3 |