Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
450a |
Isogeny class |
Conductor |
450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-17085937500 = -1 · 22 · 37 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680,9447] |
[a1,a2,a3,a4,a6] |
j |
-24389/12 |
j-invariant |
L |
2.2984860581607 |
L(r)(E,1)/r! |
Ω |
1.1492430290804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3600bn1 14400cb1 150b1 450c1 |
Quadratic twists by: -4 8 -3 5 |