Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656l |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-69312 = -1 · 26 · 3 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 -2 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6,-12] |
[a1,a2,a3,a4,a6] |
j |
-1216/3 |
j-invariant |
L |
2.8046874774919 |
L(r)(E,1)/r! |
Ω |
1.4023437387522 |
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 |
34656bh1 69312by1 103968cm1 34656bc1 |
Quadratic twists by: -4 8 -3 -19 |