Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930l |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
199920 |
Modular degree for the optimal curve |
Δ |
-16370657280000000 = -1 · 217 · 37 · 57 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54539,7864886] |
[a1,a2,a3,a4,a6] |
j |
-17940468383503611049/16370657280000000 |
j-invariant |
L |
2.501266786116 |
L(r)(E,1)/r! |
Ω |
0.357323826588 |
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 |
65790cq1 109650cc1 |
Quadratic twists by: -3 5 |