Atkin-Lehner |
3+ 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49959b |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
487191824847 = 39 · 74 · 132 · 61 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8426,-293678] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:41:1] |
Generators of the group modulo torsion |
j |
3360844835739/24751909 |
j-invariant |
L |
3.7157316768245 |
L(r)(E,1)/r! |
Ω |
0.49852969010843 |
Real period |
R |
1.8633452282601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49959a2 |
Quadratic twists by: -3 |