Atkin-Lehner |
3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245h |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
827660715 = 3 · 5 · 77 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1838481,-960248052] |
[a1,a2,a3,a4,a6] |
j |
5841345907900903681/7035 |
j-invariant |
L |
0.51861462326127 |
L(r)(E,1)/r! |
Ω |
0.1296536558078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035k4 |
Quadratic twists by: -7 |