Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600f |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-4556800 = -1 · 211 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 5 3 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,130] |
[a1,a2,a3,a4,a6] |
j |
-92610/89 |
j-invariant |
L |
4.4630075634 |
L(r)(E,1)/r! |
Ω |
2.2315037816927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17800b1 35600m1 |
Quadratic twists by: -4 5 |