Atkin-Lehner |
2+ 3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101802f |
Isogeny class |
Conductor |
101802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-5094504361728 = -1 · 28 · 32 · 196 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5423,-188638] |
[a1,a2,a3,a4,a6] |
j |
-374805361/108288 |
j-invariant |
L |
0.54816415713481 |
L(r)(E,1)/r! |
Ω |
0.27408189317768 |
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 |
282b1 |
Quadratic twists by: -19 |