Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952bd |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-12298276002816 = -1 · 210 · 318 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12217,542399] |
[a1,a2,a3,a4,a6] |
Generators |
[50:243:1] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
4.0288102961727 |
L(r)(E,1)/r! |
Ω |
0.70208467368915 |
Real period |
R |
0.31879743657659 |
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 |
5952k1 1488j1 17856bv1 |
Quadratic twists by: -4 8 -3 |