Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2352f |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-39846304512 = -1 · 28 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 6 -3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457,10163] |
[a1,a2,a3,a4,a6] |
j |
-7168/27 |
j-invariant |
L |
3.0116848280294 |
L(r)(E,1)/r! |
Ω |
1.0038949426765 |
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 |
1176a1 9408br1 7056p1 58800m1 |
Quadratic twists by: -4 8 -3 5 |