Atkin-Lehner |
2+ 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50344b |
Isogeny class |
Conductor |
50344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
45108224 = 210 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ -2 1 7- -4 0 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,352] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:28:1] [-4:28:1] |
Generators of the group modulo torsion |
j |
188183524/44051 |
j-invariant |
L |
7.423216920226 |
L(r)(E,1)/r! |
Ω |
1.9017516500482 |
Real period |
R |
0.97583942151947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688c1 |
Quadratic twists by: -4 |