Atkin-Lehner |
2+ 3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118j |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9939888113022 = 2 · 310 · 7 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12843,-536081] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:68:1] |
Generators of the group modulo torsion |
j |
321376896599473/13634963118 |
j-invariant |
L |
3.4698043794052 |
L(r)(E,1)/r! |
Ω |
0.44964300310775 |
Real period |
R |
1.9291995847606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20706r3 |
Quadratic twists by: -3 |