Atkin-Lehner |
2+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3290d |
Isogeny class |
Conductor |
3290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12994332050 = 2 · 52 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-602,1274] |
[a1,a2,a3,a4,a6] |
j |
24190225473961/12994332050 |
j-invariant |
L |
2.2047089698068 |
L(r)(E,1)/r! |
Ω |
1.1023544849034 |
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 |
26320m2 105280d2 29610u2 16450r2 |
Quadratic twists by: -4 8 -3 5 |