Atkin-Lehner |
5+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65975b |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2287888266015625 = -1 · 58 · 72 · 132 · 294 |
Discriminant |
Eigenvalues |
-1 2 5+ 7+ 2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21938,-2628344] |
[a1,a2,a3,a4,a6] |
Generators |
[290:3792:1] |
Generators of the group modulo torsion |
j |
-74730178537561/146424849025 |
j-invariant |
L |
5.0019075896126 |
L(r)(E,1)/r! |
Ω |
0.1844411536477 |
Real period |
R |
3.3899074931322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195i2 |
Quadratic twists by: 5 |