Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472m |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
519585792 = 214 · 3 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209,465] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
61918288/31713 |
j-invariant |
L |
3.7972383718471 |
L(r)(E,1)/r! |
Ω |
1.4547666549667 |
Real period |
R |
1.3051022165384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472ci1 8184k1 |
Quadratic twists by: -4 8 |