Atkin-Lehner |
3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50127r |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2462400 |
Modular degree for the optimal curve |
Δ |
4.5403109066889E+20 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4925555,-4081170607] |
[a1,a2,a3,a4,a6] |
Generators |
[-163155:1476887:125] |
Generators of the group modulo torsion |
j |
112331320422638310937/3859200593875737 |
j-invariant |
L |
9.6315088842331 |
L(r)(E,1)/r! |
Ω |
0.10155495718791 |
Real period |
R |
2.1075635959676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1023a1 |
Quadratic twists by: -7 |