Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
300b |
Isogeny class |
Conductor |
300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
180 |
Modular degree for the optimal curve |
Δ |
-2700000000 = -1 · 28 · 33 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,-3537] |
[a1,a2,a3,a4,a6] |
j |
-40960/27 |
j-invariant |
L |
1.6279161494129 |
L(r)(E,1)/r! |
Ω |
0.54263871647096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1200l1 4800j1 900f1 300a1 |
Quadratic twists by: -4 8 -3 5 |