Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812d |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22054032 |
Modular degree for the optimal curve |
Δ |
-9.5297454725634E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 5 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-274366486,-1749135943907] |
[a1,a2,a3,a4,a6] |
j |
-1035531682779333376/4320438183 |
j-invariant |
L |
5.3602436045091 |
L(r)(E,1)/r! |
Ω |
0.018547555739981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812f1 |
Quadratic twists by: 13 |