Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35258g |
Isogeny class |
Conductor |
35258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-4513024 = -1 · 28 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 0 -1 1 1 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5503,-155737] |
[a1,a2,a3,a4,a6] |
j |
-63760309805601/15616 |
j-invariant |
L |
2.2172559407709 |
L(r)(E,1)/r! |
Ω |
0.27715699259479 |
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 |
35258i1 |
Quadratic twists by: 17 |