Atkin-Lehner |
2- 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424m |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-20035731456 = -1 · 216 · 33 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261,-6614] |
[a1,a2,a3,a4,a6] |
Generators |
[15:26:1] |
Generators of the group modulo torsion |
j |
17779581/181168 |
j-invariant |
L |
6.8664563880622 |
L(r)(E,1)/r! |
Ω |
0.60002342084214 |
Real period |
R |
1.4304559210617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999229696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15678g1 125424l1 |
Quadratic twists by: -4 -3 |