Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400c |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
75140000000 = 28 · 57 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156508,-23779488] |
[a1,a2,a3,a4,a6] |
Generators |
[626421621:-36165671000:185193] |
Generators of the group modulo torsion |
j |
105992740376656/18785 |
j-invariant |
L |
7.041656698875 |
L(r)(E,1)/r! |
Ω |
0.24002981623498 |
Real period |
R |
14.668295800401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44200c1 17680e1 |
Quadratic twists by: -4 5 |