Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5952z |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-21371546704896 = -1 · 210 · 36 · 315 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 4 2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3743,202969] |
[a1,a2,a3,a4,a6] |
Generators |
[64:837:1] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
2.1477212761157 |
L(r)(E,1)/r! |
Ω |
0.48363855591544 |
Real period |
R |
0.44407569451333 |
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 |
5952p1 1488f1 17856ch1 |
Quadratic twists by: -4 8 -3 |