Atkin-Lehner |
2- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18352g |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
9102592 = 28 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3 -2 -1 1 6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-736,-7684] |
[a1,a2,a3,a4,a6] |
j |
172233326592/35557 |
j-invariant |
L |
3.6664475164397 |
L(r)(E,1)/r! |
Ω |
0.91661187910993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588f1 73408bd1 |
Quadratic twists by: -4 8 |