Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554t |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
27080251984656 = 24 · 36 · 137 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 2 6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13214,531613] |
[a1,a2,a3,a4,a6] |
Generators |
[1:719:1] |
Generators of the group modulo torsion |
j |
72511713/7696 |
j-invariant |
L |
15.296242206774 |
L(r)(E,1)/r! |
Ω |
0.64691440374963 |
Real period |
R |
2.9556155550708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12506b1 8658b1 |
Quadratic twists by: -3 13 |