Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800ca |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
104000000000 = 212 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833,26537] |
[a1,a2,a3,a4,a6] |
Generators |
[8:111:1] |
Generators of the group modulo torsion |
j |
85184/13 |
j-invariant |
L |
7.4199500412543 |
L(r)(E,1)/r! |
Ω |
1.0160399035702 |
Real period |
R |
3.6514068075386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800cb1 10400r1 20800bo1 |
Quadratic twists by: -4 8 5 |