Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200cs |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
5536077362606250000 = 24 · 317 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1113375,437779375] |
[a1,a2,a3,a4,a6] |
j |
33499672587520/1215051273 |
j-invariant |
L |
1.9124229954684 |
L(r)(E,1)/r! |
Ω |
0.23905287443392 |
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 |
68400cr1 11400n1 34200s1 |
Quadratic twists by: -4 -3 5 |