Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fh |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2668279320000000 = 29 · 34 · 57 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-461008,120607012] |
[a1,a2,a3,a4,a6] |
Generators |
[152:7350:1] |
Generators of the group modulo torsion |
j |
11512557512/2835 |
j-invariant |
L |
4.862576116032 |
L(r)(E,1)/r! |
Ω |
0.44373130316602 |
Real period |
R |
1.3697974697327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600dc4 23520y4 16800ca2 |
Quadratic twists by: -4 5 -7 |