Atkin-Lehner |
3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
26145c |
Isogeny class |
Conductor |
26145 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-85804409446875 = -1 · 39 · 55 · 75 · 83 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 4 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10450053,-13002469792] |
[a1,a2,a3,a4,a6] |
Generators |
[39912:7946599:1] |
Generators of the group modulo torsion |
j |
-6411917102904887758848/4359315625 |
j-invariant |
L |
2.7949661307322 |
L(r)(E,1)/r! |
Ω |
0.041984591863911 |
Real period |
R |
6.6571234985249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26145f1 |
Quadratic twists by: -3 |