Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944f |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
93173338368 = 28 · 39 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1215,-7074] |
[a1,a2,a3,a4,a6] |
Generators |
[669:17280:1] |
Generators of the group modulo torsion |
j |
39366000/18491 |
j-invariant |
L |
7.0950466301643 |
L(r)(E,1)/r! |
Ω |
0.84642479621419 |
Real period |
R |
4.1911854792542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472j2 64944a2 |
Quadratic twists by: -4 -3 |