Atkin-Lehner |
2+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17864b |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-211912655223808 = -1 · 210 · 75 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3755,-705962] |
[a1,a2,a3,a4,a6] |
j |
-5718124138500/206945952367 |
j-invariant |
L |
0.98048888303333 |
L(r)(E,1)/r! |
Ω |
0.24512222075833 |
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 |
35728i1 125048d1 |
Quadratic twists by: -4 -7 |