Atkin-Lehner |
3- 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18693a |
Isogeny class |
Conductor |
18693 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
-307961025003 = -1 · 314 · 312 · 67 |
Discriminant |
Eigenvalues |
-2 3- -4 2 0 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1047,-29714] |
[a1,a2,a3,a4,a6] |
Generators |
[46:139:1] |
Generators of the group modulo torsion |
j |
-174115016704/422443107 |
j-invariant |
L |
2.2205952343802 |
L(r)(E,1)/r! |
Ω |
0.39135309589257 |
Real period |
R |
1.4185369029186 |
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 |
6231a1 |
Quadratic twists by: -3 |