Atkin-Lehner |
2- 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21012c |
Isogeny class |
Conductor |
21012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-8656944 = -1 · 24 · 3 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,150] |
[a1,a2,a3,a4,a6] |
Generators |
[100:715:64] |
Generators of the group modulo torsion |
j |
-35995648/541059 |
j-invariant |
L |
4.7770161904714 |
L(r)(E,1)/r! |
Ω |
1.9618256952543 |
Real period |
R |
4.869970050884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84048z1 63036c1 |
Quadratic twists by: -4 -3 |