Atkin-Lehner |
3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49011i |
Isogeny class |
Conductor |
49011 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-37884869630847 = -1 · 34 · 17 · 317 |
Discriminant |
Eigenvalues |
-1 3- 2 0 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7668,-143937] |
[a1,a2,a3,a4,a6] |
j |
56181887/42687 |
j-invariant |
L |
0.36231201706988 |
L(r)(E,1)/r! |
Ω |
0.36231201692732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1581b1 |
Quadratic twists by: -31 |