Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68450m |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8951040 |
Modular degree for the optimal curve |
Δ |
2.5383152303726E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81598817,283626348841] |
[a1,a2,a3,a4,a6] |
j |
29589645357/12500 |
j-invariant |
L |
1.8774302655493 |
L(r)(E,1)/r! |
Ω |
0.11733939107293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13690i1 68450be1 |
Quadratic twists by: 5 37 |