Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648bf |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-21316006656 = -1 · 28 · 38 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1812,-30508] |
[a1,a2,a3,a4,a6] |
Generators |
[52:126:1] |
Generators of the group modulo torsion |
j |
-3525581824/114219 |
j-invariant |
L |
5.4828870002581 |
L(r)(E,1)/r! |
Ω |
0.3651763238657 |
Real period |
R |
1.251196258248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37296p1 6216f1 |
Quadratic twists by: -4 -3 |