Atkin-Lehner |
2+ 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4218c |
Isogeny class |
Conductor |
4218 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
8232 |
Modular degree for the optimal curve |
Δ |
-71042997888 = -1 · 27 · 37 · 193 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17842,-918844] |
[a1,a2,a3,a4,a6] |
j |
-628086308429730457/71042997888 |
j-invariant |
L |
1.4457948851636 |
L(r)(E,1)/r! |
Ω |
0.20654212645195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33744k1 12654l1 105450bp1 80142p1 |
Quadratic twists by: -4 -3 5 -19 |