Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ev |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
474360768000000 = 212 · 32 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40833,-2984463] |
[a1,a2,a3,a4,a6] |
Generators |
[243:1176:1] |
Generators of the group modulo torsion |
j |
1000000/63 |
j-invariant |
L |
5.948733326792 |
L(r)(E,1)/r! |
Ω |
0.33717640307552 |
Real period |
R |
2.2053490632896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cw2 4704l2 16800bw2 |
Quadratic twists by: -4 5 -7 |