Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784cb |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2402889070804992 = 223 · 312 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5888289,-5497645887] |
[a1,a2,a3,a4,a6] |
j |
86129359107301290313/9166294368 |
j-invariant |
L |
0.77534012331387 |
L(r)(E,1)/r! |
Ω |
0.096917515414234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784x3 3696z3 44352ek4 103488io4 |
Quadratic twists by: -4 8 -3 -7 |