Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68450bf |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-7914531250000 = -1 · 24 · 510 · 373 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -6 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1445,-134053] |
[a1,a2,a3,a4,a6] |
Generators |
[65:448:1] |
Generators of the group modulo torsion |
j |
675/16 |
j-invariant |
L |
6.6049317236344 |
L(r)(E,1)/r! |
Ω |
0.35813342960956 |
Real period |
R |
2.3053320276937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450w1 68450n1 |
Quadratic twists by: 5 37 |