Atkin-Lehner |
2- 3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270x |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-1988485896093750 = -1 · 2 · 36 · 58 · 17 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-226058,-41368273] |
[a1,a2,a3,a4,a6] |
j |
-1752483854673189721/2727689843750 |
j-invariant |
L |
5.9110954822241 |
L(r)(E,1)/r! |
Ω |
0.10946473266581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030f1 |
Quadratic twists by: -3 |