Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300x |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-299400300000000 = -1 · 28 · 37 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -2 -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84000,-9407500] |
[a1,a2,a3,a4,a6] |
j |
-899153920/4107 |
j-invariant |
L |
1.1214270961754 |
L(r)(E,1)/r! |
Ω |
0.14017838702198 |
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 |
11100f1 33300t1 |
Quadratic twists by: -3 5 |