Atkin-Lehner |
3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50127o |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-721378186190739 = -1 · 35 · 77 · 112 · 313 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11+ 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,21544,-427003] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1613:8] |
Generators of the group modulo torsion |
j |
9399274532864/6131613411 |
j-invariant |
L |
13.819494160417 |
L(r)(E,1)/r! |
Ω |
0.28973631618131 |
Real period |
R |
2.3848398334341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161e1 |
Quadratic twists by: -7 |