Atkin-Lehner |
2+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35150a |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-3329408000000000000 = -1 · 219 · 512 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -2 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1773501,913146648] |
[a1,a2,a3,a4,a6] |
j |
-39481863905634586561/213082112000000 |
j-invariant |
L |
1.0102389001704 |
L(r)(E,1)/r! |
Ω |
0.25255972504527 |
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 |
7030h1 |
Quadratic twists by: 5 |