Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575t |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-1.65005635634E+22 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- -6 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3133242,-5800937582] |
[a1,a2,a3,a4,a6] |
Generators |
[1298:21241:1] [4052:270937:1] |
Generators of the group modulo torsion |
j |
9019694698496/43750721875 |
j-invariant |
L |
6.8500526740681 |
L(r)(E,1)/r! |
Ω |
0.062261979123648 |
Real period |
R |
0.98231995594679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115i1 2975b1 |
Quadratic twists by: 5 17 |