Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952c |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
857088 = 210 · 33 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1117,-14003] |
[a1,a2,a3,a4,a6] |
Generators |
[213057:1940680:2197] |
Generators of the group modulo torsion |
j |
150651000832/837 |
j-invariant |
L |
3.7943025627775 |
L(r)(E,1)/r! |
Ω |
0.82576032117528 |
Real period |
R |
9.1898398735778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5952bf1 744b1 17856r1 |
Quadratic twists by: -4 8 -3 |