Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400dr |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.1114620294912E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60831408,-182398874688] |
[a1,a2,a3,a4,a6] |
Generators |
[139434:16103043:8] |
Generators of the group modulo torsion |
j |
388980071198593573609/486165942108000 |
j-invariant |
L |
5.783870863999 |
L(r)(E,1)/r! |
Ω |
0.054063004908985 |
Real period |
R |
6.6864934709572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cj3 18480cu3 |
Quadratic twists by: -4 5 |