Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cz |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11061279129600 = 216 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-258363,50546538] |
[a1,a2,a3,a4,a6] |
Generators |
[301:-224:1] |
Generators of the group modulo torsion |
j |
68971442301/400 |
j-invariant |
L |
4.9189169628275 |
L(r)(E,1)/r! |
Ω |
0.63918461697429 |
Real period |
R |
0.96195153016027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4410w2 35280di2 35280dk2 |
Quadratic twists by: -4 -3 -7 |