Atkin-Lehner |
2- 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424l |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-14606048231424 = -1 · 216 · 39 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2349,178578] |
[a1,a2,a3,a4,a6] |
Generators |
[7:442:1] |
Generators of the group modulo torsion |
j |
17779581/181168 |
j-invariant |
L |
10.48684085849 |
L(r)(E,1)/r! |
Ω |
0.5163180834101 |
Real period |
R |
2.5388518319673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999964662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15678a1 125424m1 |
Quadratic twists by: -4 -3 |