Atkin-Lehner |
3- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61335f |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2930688 |
Modular degree for the optimal curve |
Δ |
-4.0691293891526E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 4 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-349743,317065734] |
[a1,a2,a3,a4,a6] |
j |
-6489978779037454336/55817961442422435 |
j-invariant |
L |
0.69803243952577 |
L(r)(E,1)/r! |
Ω |
0.17450810887534 |
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 |
20445h1 |
Quadratic twists by: -3 |