Atkin-Lehner |
7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33761a |
Isogeny class |
Conductor |
33761 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1246624216019 = -1 · 77 · 134 · 53 |
Discriminant |
Eigenvalues |
2 0 -1 7- -1 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1127,51707] |
[a1,a2,a3,a4,a6] |
j |
1345572864/10596131 |
j-invariant |
L |
2.5169368570887 |
L(r)(E,1)/r! |
Ω |
0.62923421427236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4823b1 |
Quadratic twists by: -7 |