Atkin-Lehner |
3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739k |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
148312208116073331 = 38 · 113 · 198 |
Discriminant |
Eigenvalues |
-1 3- -1 -3 11+ 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-178763,22472120] |
[a1,a2,a3,a4,a6] |
j |
51026761/11979 |
j-invariant |
L |
0.61241316216829 |
L(r)(E,1)/r! |
Ω |
0.30620658107241 |
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 |
11913g1 35739p1 |
Quadratic twists by: -3 -19 |