Atkin-Lehner |
3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35475h |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-6481006792734375 = -1 · 32 · 57 · 118 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121001,16647023] |
[a1,a2,a3,a4,a6] |
j |
-12539072261612161/414784434735 |
j-invariant |
L |
3.3637114898117 |
L(r)(E,1)/r! |
Ω |
0.4204639362283 |
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 |
106425j1 7095c1 |
Quadratic twists by: -3 5 |