Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616m |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-281198251440543744 = -1 · 211 · 39 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 1 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132651,31570938] |
[a1,a2,a3,a4,a6] |
j |
-918 |
j-invariant |
L |
3.3634038197174 |
L(r)(E,1)/r! |
Ω |
0.28028365164394 |
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 |
20808ba1 41616n1 41616h1 |
Quadratic twists by: -4 -3 17 |