Atkin-Lehner |
2- 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900be |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
-1836168750000 = -1 · 24 · 36 · 58 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7833,272088] |
[a1,a2,a3,a4,a6] |
j |
-8505180160/293787 |
j-invariant |
L |
4.9805405919626 |
L(r)(E,1)/r! |
Ω |
0.83009015770181 |
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 |
120900f1 |
Quadratic twists by: 5 |