Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200ce |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
11686781250000 = 24 · 39 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20250,-1096875] |
[a1,a2,a3,a4,a6] |
Generators |
[886:26009:1] |
Generators of the group modulo torsion |
j |
1492992/19 |
j-invariant |
L |
5.229752532618 |
L(r)(E,1)/r! |
Ω |
0.40052314258465 |
Real period |
R |
6.5286521259037 |
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 |
68400w1 34200m1 34200l1 |
Quadratic twists by: -4 -3 5 |