Atkin-Lehner |
3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739h |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
16335689337 = 39 · 112 · 193 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 11- 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1122,-12817] |
[a1,a2,a3,a4,a6] |
j |
1157625/121 |
j-invariant |
L |
1.6608768002831 |
L(r)(E,1)/r! |
Ω |
0.83043840014465 |
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 |
35739d1 35739i1 |
Quadratic twists by: -3 -19 |