Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800l |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-138444800 = -1 · 215 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -5 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,97] |
[a1,a2,a3,a4,a6] |
Generators |
[11:52:1] |
Generators of the group modulo torsion |
j |
274360/169 |
j-invariant |
L |
4.3435705791217 |
L(r)(E,1)/r! |
Ω |
1.1367272967377 |
Real period |
R |
0.95527981768087 |
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 |
20800g1 10400i1 20800bw1 |
Quadratic twists by: -4 8 5 |