Atkin-Lehner |
3- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61335c |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
670698225 = 39 · 52 · 29 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6885,221616] |
[a1,a2,a3,a4,a6] |
j |
49515765633361/920025 |
j-invariant |
L |
2.9697445506785 |
L(r)(E,1)/r! |
Ω |
1.4848722777365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445f1 |
Quadratic twists by: -3 |