Atkin-Lehner |
2- 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300o |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1908537491250000 = 24 · 312 · 57 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113633,-14555238] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:325:1] [-194:388:1] |
Generators of the group modulo torsion |
j |
649084058484736/7634149965 |
j-invariant |
L |
7.6119157964621 |
L(r)(E,1)/r! |
Ω |
0.26021474422345 |
Real period |
R |
4.8754064129988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260m1 |
Quadratic twists by: 5 |