Atkin-Lehner |
3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739i |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
768526896601470897 = 39 · 112 · 199 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11- -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-405110,89937244] |
[a1,a2,a3,a4,a6] |
j |
1157625/121 |
j-invariant |
L |
0.55079399581377 |
L(r)(E,1)/r! |
Ω |
0.27539699790339 |
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 |
35739c1 35739h1 |
Quadratic twists by: -3 -19 |