Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200w |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-55404000000 = -1 · 28 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-11500] |
[a1,a2,a3,a4,a6] |
j |
-1024/19 |
j-invariant |
L |
3.8496719880449 |
L(r)(E,1)/r! |
Ω |
0.48120899850575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400cd1 3800c1 1368f1 |
Quadratic twists by: -4 -3 5 |