Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200i |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-4322386800 = -1 · 24 · 311 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 5 -5 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-3173] |
[a1,a2,a3,a4,a6] |
Generators |
[21071:3058563:1] |
Generators of the group modulo torsion |
j |
8779520/10805967 |
j-invariant |
L |
6.406117987856 |
L(r)(E,1)/r! |
Ω |
0.64343909074834 |
Real period |
R |
9.9560596808632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600bb1 73200bd1 |
Quadratic twists by: -4 5 |