Atkin-Lehner |
3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49197d |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
503424 |
Modular degree for the optimal curve |
Δ |
160974416812932699 = 3 · 239 · 313 |
Discriminant |
Eigenvalues |
1 3+ 1 -5 -3 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157917,-14584818] |
[a1,a2,a3,a4,a6] |
j |
241804367/89373 |
j-invariant |
L |
0.4938961610519 |
L(r)(E,1)/r! |
Ω |
0.24694808022851 |
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 |
49197e1 |
Quadratic twists by: -23 |