Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800do |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-325000000 = -1 · 26 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 5 1 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,10000] |
[a1,a2,a3,a4,a6] |
Generators |
[0:100:1] |
Generators of the group modulo torsion |
j |
-2963520/13 |
j-invariant |
L |
5.7845597312048 |
L(r)(E,1)/r! |
Ω |
1.7235570153677 |
Real period |
R |
1.1187251479794 |
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 |
20800dp1 10400bh1 20800cz1 |
Quadratic twists by: -4 8 5 |