Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400bx |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
13692859488000000 = 211 · 38 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1415008,647371988] |
[a1,a2,a3,a4,a6] |
Generators |
[758:-3300:1] |
Generators of the group modulo torsion |
j |
9791533777258802/427901859 |
j-invariant |
L |
8.134472455038 |
L(r)(E,1)/r! |
Ω |
0.37333149331149 |
Real period |
R |
0.22696742601863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200bw2 3696h2 |
Quadratic twists by: -4 5 |