Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12138o |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-7516584706022784 = -1 · 27 · 315 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33373,3451358] |
[a1,a2,a3,a4,a6] |
j |
49218965184023/89996344704 |
j-invariant |
L |
2.8691314284529 |
L(r)(E,1)/r! |
Ω |
0.28691314284529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97104bs1 36414db1 84966bi1 12138c1 |
Quadratic twists by: -4 -3 -7 17 |