Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150bp |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-27094564700 = -1 · 22 · 52 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -2 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,750,-563] |
[a1,a2,a3,a4,a6] |
Generators |
[2277:29465:729] |
Generators of the group modulo torsion |
j |
324135/188 |
j-invariant |
L |
20.300553629725 |
L(r)(E,1)/r! |
Ω |
0.7039719100826 |
Real period |
R |
4.806194046226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150u1 115150cd1 |
Quadratic twists by: 5 -7 |