Atkin-Lehner |
2+ 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096g |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
1632697105104 = 24 · 36 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7779,259434] |
[a1,a2,a3,a4,a6] |
j |
3254099827320832/102043569069 |
j-invariant |
L |
2.5160583851017 |
L(r)(E,1)/r! |
Ω |
0.83868612836725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048n1 72384cz1 54288p1 |
Quadratic twists by: -4 8 -3 |