Atkin-Lehner |
5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12155a |
Isogeny class |
Conductor |
12155 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
249696 |
Modular degree for the optimal curve |
Δ |
-313445281982421875 = -1 · 517 · 11 · 133 · 17 |
Discriminant |
Eigenvalues |
1 1 5+ -3 11+ 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2022444,1107197601] |
[a1,a2,a3,a4,a6] |
j |
-914856375379243371488569/313445281982421875 |
j-invariant |
L |
0.29994812765299 |
L(r)(E,1)/r! |
Ω |
0.29994812765299 |
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 |
109395ba1 60775a1 |
Quadratic twists by: -3 5 |