Atkin-Lehner |
2- 3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030cd |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-351351000000 = -1 · 26 · 33 · 56 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4290,111492] |
[a1,a2,a3,a4,a6] |
j |
-8731762524444961/351351000000 |
j-invariant |
L |
5.7041989015337 |
L(r)(E,1)/r! |
Ω |
0.95069981692201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090bc1 |
Quadratic twists by: -3 |