Atkin-Lehner |
2+ 3- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930r |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-13141999872000 = -1 · 211 · 35 · 53 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 4 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13763,-646594] |
[a1,a2,a3,a4,a6] |
j |
-288282102195061801/13141999872000 |
j-invariant |
L |
3.2970936777387 |
L(r)(E,1)/r! |
Ω |
0.21980624518258 |
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 |
65790ch1 109650ca1 |
Quadratic twists by: -3 5 |