Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200bj |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
190008018000 = 24 · 36 · 53 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5430,-152575] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:25:1] |
Generators of the group modulo torsion |
j |
12144109568/130321 |
j-invariant |
L |
4.9296813637587 |
L(r)(E,1)/r! |
Ω |
0.55652047449549 |
Real period |
R |
2.2145103323588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400cu1 3800i1 34200cv1 |
Quadratic twists by: -4 -3 5 |