Atkin-Lehner |
3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775ba |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
4.9107637367249E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15283355,-22744950478] |
[a1,a2,a3,a4,a6] |
Generators |
[-2336:15505:1] [-2082:7885:1] |
Generators of the group modulo torsion |
j |
34660293348948298849/431123291015625 |
j-invariant |
L |
7.5808118526487 |
L(r)(E,1)/r! |
Ω |
0.076413762375223 |
Real period |
R |
12.400926907401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41925l1 25155l1 |
Quadratic twists by: -3 5 |