Atkin-Lehner |
2- 3+ 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930ba |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
109200 |
Modular degree for the optimal curve |
Δ |
-40926643200000 = -1 · 213 · 37 · 55 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -5 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6931,-382447] |
[a1,a2,a3,a4,a6] |
j |
-36822674157198769/40926643200000 |
j-invariant |
L |
3.2592806465628 |
L(r)(E,1)/r! |
Ω |
0.25071389588944 |
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 |
65790bb1 109650v1 |
Quadratic twists by: -3 5 |