Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325r |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-1174956665236171875 = -1 · 311 · 57 · 293 · 592 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 -1 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,158242,46234769] |
[a1,a2,a3,a4,a6] |
Generators |
[9674:358421:8] |
Generators of the group modulo torsion |
j |
28045696596660224/75197226575115 |
j-invariant |
L |
17.399957613297 |
L(r)(E,1)/r! |
Ω |
0.19208409776382 |
Real period |
R |
2.0587523238773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665g1 |
Quadratic twists by: 5 |