Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800ce |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
325000000 = 26 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250,-1250] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:13:1] |
Generators of the group modulo torsion |
j |
69120/13 |
j-invariant |
L |
3.1689887220015 |
L(r)(E,1)/r! |
Ω |
1.2162767621938 |
Real period |
R |
2.6054832423878 |
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 |
20800cc1 10400s1 20800q1 |
Quadratic twists by: -4 8 5 |