Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465l |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
10379818647146025 = 314 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-323663,-70623394] |
[a1,a2,a3,a4,a6] |
j |
5143681768032498601/14238434358225 |
j-invariant |
L |
1.2011573526898 |
L(r)(E,1)/r! |
Ω |
0.20019289211496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440db2 1155l2 17325r2 24255bx2 |
Quadratic twists by: -4 -3 5 -7 |