Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360ba |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5688900000000 = 28 · 33 · 58 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33087,2313666] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-210:1] [-143:2030:1] |
Generators of the group modulo torsion |
j |
579551663832048/823046875 |
j-invariant |
L |
12.235209346419 |
L(r)(E,1)/r! |
Ω |
0.75858915838947 |
Real period |
R |
0.50402815269348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360e2 |
Quadratic twists by: -3 |