Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056s |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-825698240081952768 = -1 · 222 · 38 · 172 · 473 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,233133,-5843950] |
[a1,a2,a3,a4,a6] |
Generators |
[178:6426:1] |
Generators of the group modulo torsion |
j |
469296691776431/276524669952 |
j-invariant |
L |
4.3552333936742 |
L(r)(E,1)/r! |
Ω |
0.16556036575419 |
Real period |
R |
3.2882518686175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998557884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382e1 38352n1 |
Quadratic twists by: -4 -3 |