Atkin-Lehner |
2- 3+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930w |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-33087633120 = -1 · 25 · 32 · 5 · 172 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 6 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10116,-395931] |
[a1,a2,a3,a4,a6] |
j |
-114486125331475009/33087633120 |
j-invariant |
L |
4.7603577976931 |
L(r)(E,1)/r! |
Ω |
0.23801788988466 |
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 |
65790bd1 109650bh1 |
Quadratic twists by: -3 5 |