Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800cz |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-15855750000 = -1 · 24 · 37 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1258,-18637] |
[a1,a2,a3,a4,a6] |
Generators |
[83:675:1] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
6.4383086212826 |
L(r)(E,1)/r! |
Ω |
0.39914030458893 |
Real period |
R |
1.152174265408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8700d1 104400ew1 1392j1 |
Quadratic twists by: -4 -3 5 |