Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1968h |
Isogeny class |
Conductor |
1968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-1369304293441536 = -1 · 237 · 35 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -2 -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2800,1782208] |
[a1,a2,a3,a4,a6] |
Generators |
[-2184:32768:27] |
Generators of the group modulo torsion |
j |
-592915705201/334302806016 |
j-invariant |
L |
2.8097218600263 |
L(r)(E,1)/r! |
Ω |
0.38955902148049 |
Real period |
R |
1.8031425952788 |
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 |
246b1 7872bf1 5904l1 49200dl1 |
Quadratic twists by: -4 8 -3 5 |