Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800bx |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
208989173250000 = 24 · 312 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19183,756112] |
[a1,a2,a3,a4,a6] |
Generators |
[137:825:1] |
Generators of the group modulo torsion |
j |
3122884507648/835956693 |
j-invariant |
L |
4.0685359358935 |
L(r)(E,1)/r! |
Ω |
0.52551476811067 |
Real period |
R |
1.9355002879746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3432e1 |
Quadratic twists by: 5 |