Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73644f |
Isogeny class |
Conductor |
73644 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
86184 |
Modular degree for the optimal curve |
Δ |
-614231022336 = -1 · 28 · 3 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 5 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1925,50433] |
[a1,a2,a3,a4,a6] |
j |
-65536/51 |
j-invariant |
L |
2.519406510137 |
L(r)(E,1)/r! |
Ω |
0.83980217280695 |
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 |
204b1 |
Quadratic twists by: -19 |