Atkin-Lehner |
2- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352o |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-652542064 = -1 · 24 · 313 · 372 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 4 -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126,1303] |
[a1,a2,a3,a4,a6] |
Generators |
[3:31:1] [11:37:1] |
Generators of the group modulo torsion |
j |
-13936624384/40783879 |
j-invariant |
L |
4.7517765908341 |
L(r)(E,1)/r! |
Ω |
1.4244113219807 |
Real period |
R |
0.55599302878172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588d1 73408bg1 |
Quadratic twists by: -4 8 |