Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
125316c |
Isogeny class |
Conductor |
125316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208800 |
Modular degree for the optimal curve |
Δ |
-18221990532912 = -1 · 24 · 33 · 596 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-205379] |
[a1,a2,a3,a4,a6] |
Generators |
[4888790544120:-58098358901143:32522853888] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.4722861150086 |
L(r)(E,1)/r! |
Ω |
0.31618338300136 |
Real period |
R |
17.307317742437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997085779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125316c3 36a1 |
Quadratic twists by: -3 -59 |