Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200n |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
5130000 = 24 · 33 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] [-5:5:1] |
Generators of the group modulo torsion |
j |
172800/19 |
j-invariant |
L |
8.0809288267437 |
L(r)(E,1)/r! |
Ω |
1.6338894115141 |
Real period |
R |
0.41215196745659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400ba1 34200cf1 34200bx1 |
Quadratic twists by: -4 -3 5 |