Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bm |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2532699017532407808 = -1 · 224 · 38 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,340125,-5787038] |
[a1,a2,a3,a4,a6] |
Generators |
[59178:2866168:27] |
Generators of the group modulo torsion |
j |
1457309849609375/848195776512 |
j-invariant |
L |
4.9932754282181 |
L(r)(E,1)/r! |
Ω |
0.15195603129376 |
Real period |
R |
8.2150003946944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4662e1 12432bn1 |
Quadratic twists by: -4 -3 |