Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
39440c |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-3647411200000000 = -1 · 216 · 58 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -4 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38723,4128578] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-1250:1] |
Generators of the group modulo torsion |
j |
-1567728136054809/890481250000 |
j-invariant |
L |
2.3313600765326 |
L(r)(E,1)/r! |
Ω |
0.4113862984859 |
Real period |
R |
1.4167706150612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4930a1 |
Quadratic twists by: -4 |