Atkin-Lehner |
2+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35150c |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-1300550000000000000 = -1 · 213 · 514 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 2 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101000,56200000] |
[a1,a2,a3,a4,a6] |
j |
-7292467899768961/83235200000000 |
j-invariant |
L |
0.92421571667864 |
L(r)(E,1)/r! |
Ω |
0.23105392916892 |
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 |
7030g1 |
Quadratic twists by: 5 |