Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138c |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1542240 |
Modular degree for the optimal curve |
Δ |
-1.8143208198597E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9644936,16946878144] |
[a1,a2,a3,a4,a6] |
Generators |
[-369645738:14335177801:287496] |
Generators of the group modulo torsion |
j |
49218965184023/89996344704 |
j-invariant |
L |
2.1851966547796 |
L(r)(E,1)/r! |
Ω |
0.06958665843112 |
Real period |
R |
15.701261592713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104cv1 36414cl1 84966cc1 12138o1 |
Quadratic twists by: -4 -3 -7 17 |