Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208bg |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
1528783165211904 = 28 · 36 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300925,63610849] |
[a1,a2,a3,a4,a6] |
Generators |
[280:1107:1] |
Generators of the group modulo torsion |
j |
41675382784/21141 |
j-invariant |
L |
6.4494427716844 |
L(r)(E,1)/r! |
Ω |
0.47022029019384 |
Real period |
R |
3.4289475094809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052l1 68208cc1 |
Quadratic twists by: -4 -7 |