Atkin-Lehner |
3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
39525c |
Isogeny class |
Conductor |
39525 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-667679150390625 = -1 · 33 · 511 · 17 · 313 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 5 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7838,1270917] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1204:1] |
Generators of the group modulo torsion |
j |
-3408183162649/42731465625 |
j-invariant |
L |
4.9924265407655 |
L(r)(E,1)/r! |
Ω |
0.43349730769416 |
Real period |
R |
0.63981257811704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118575n1 7905b1 |
Quadratic twists by: -3 5 |