Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37518o |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
457689690950544 = 24 · 32 · 137 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2317754,-1359119689] |
[a1,a2,a3,a4,a6] |
Generators |
[-7034:3661:8] |
Generators of the group modulo torsion |
j |
285276257074764073/94822416 |
j-invariant |
L |
4.0913600228104 |
L(r)(E,1)/r! |
Ω |
0.12235810084291 |
Real period |
R |
2.7864658426271 |
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 |
112554i1 2886a1 |
Quadratic twists by: -3 13 |