Atkin-Lehner |
2+ 3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118m |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
-78480068050944 = -1 · 218 · 36 · 72 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 3 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4128,-437248] |
[a1,a2,a3,a4,a6] |
j |
-10672703078913/107654414336 |
j-invariant |
L |
2.0722325285512 |
L(r)(E,1)/r! |
Ω |
0.25902906634868 |
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 |
6902c1 |
Quadratic twists by: -3 |