Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3520f |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3748096000000 = 214 · 56 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20188,1100112] |
[a1,a2,a3,a4,a6] |
j |
55537159171536/228765625 |
j-invariant |
L |
1.580859577189 |
L(r)(E,1)/r! |
Ω |
0.79042978859451 |
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 |
3520p2 440c2 31680bl2 17600m2 |
Quadratic twists by: -4 8 -3 5 |