Atkin-Lehner |
2+ 3- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118t |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2418062913379764 = -1 · 22 · 36 · 76 · 172 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1624518,797366808] |
[a1,a2,a3,a4,a6] |
j |
-650384103073295640673/3316958728916 |
j-invariant |
L |
3.2510674207829 |
L(r)(E,1)/r! |
Ω |
0.40638342872239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6902e2 |
Quadratic twists by: -3 |