Atkin-Lehner |
2- 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536ba |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
-4132484430100955136 = -1 · 230 · 39 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3362832,-2374484544] |
[a1,a2,a3,a4,a6] |
Generators |
[171352:70926336:1] |
Generators of the group modulo torsion |
j |
-1026784744653907139473/1008907331567616 |
j-invariant |
L |
3.907744417606 |
L(r)(E,1)/r! |
Ω |
0.055740090221342 |
Real period |
R |
5.8422109982514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942n1 |
Quadratic twists by: -4 |