Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800cy |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-20800 = -1 · 26 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 -1 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[1680:5416:125] |
Generators of the group modulo torsion |
j |
-2963520/13 |
j-invariant |
L |
5.9298342646793 |
L(r)(E,1)/r! |
Ω |
0.98115711484391 |
Real period |
R |
6.0437152979548 |
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 |
20800cz1 10400c1 20800dp1 |
Quadratic twists by: -4 8 5 |