Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040a |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-193405158000 = -1 · 24 · 39 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1377,7803] |
[a1,a2,a3,a4,a6] |
Generators |
[51:459:1] |
Generators of the group modulo torsion |
j |
186624/125 |
j-invariant |
L |
4.6543791303856 |
L(r)(E,1)/r! |
Ω |
0.63278318006926 |
Real period |
R |
0.91942613073917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040bt1 104040g1 |
Quadratic twists by: -3 17 |