Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920m |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-100517120 = -1 · 28 · 5 · 113 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44,-484] |
[a1,a2,a3,a4,a6] |
Generators |
[13:46:1] |
Generators of the group modulo torsion |
j |
35969456/392645 |
j-invariant |
L |
2.7090012371245 |
L(r)(E,1)/r! |
Ω |
0.93127705972856 |
Real period |
R |
2.9089100915743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12980c1 |
Quadratic twists by: -4 |