Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800cv |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2080000000000 = -1 · 214 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 3 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2500,50000] |
[a1,a2,a3,a4,a6] |
Generators |
[76:824:1] |
Generators of the group modulo torsion |
j |
10800/13 |
j-invariant |
L |
4.4623884613069 |
L(r)(E,1)/r! |
Ω |
0.55261570603252 |
Real period |
R |
4.0375150512319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800u1 5200o1 20800dm1 |
Quadratic twists by: -4 8 5 |