Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20720h |
Isogeny class |
Conductor |
20720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-10863247360 = -1 · 223 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 7 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-5036] |
[a1,a2,a3,a4,a6] |
j |
-4826809/2652160 |
j-invariant |
L |
1.150905856047 |
L(r)(E,1)/r! |
Ω |
0.57545292802352 |
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 |
2590b1 82880bp1 103600br1 |
Quadratic twists by: -4 8 5 |