Atkin-Lehner |
2+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36946j |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-419246688652460032 = -1 · 215 · 79 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,176081,12789477] |
[a1,a2,a3,a4,a6] |
Generators |
[5089723544331:-223271819444656:33729575391] |
Generators of the group modulo torsion |
j |
14961494806721/10389323776 |
j-invariant |
L |
7.3704011591513 |
L(r)(E,1)/r! |
Ω |
0.18873169037317 |
Real period |
R |
19.526135607057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36946d1 |
Quadratic twists by: -7 |