Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37544g |
Isogeny class |
Conductor |
37544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-185925321712 = -1 · 24 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 -4 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,65809] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:361:1] |
Generators of the group modulo torsion |
j |
-4000000/247 |
j-invariant |
L |
2.440777171081 |
L(r)(E,1)/r! |
Ω |
0.99540134239395 |
Real period |
R |
0.30650666559407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088l1 1976b1 |
Quadratic twists by: -4 -19 |