Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14416h |
Isogeny class |
Conductor |
14416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-8415618896318464 = -1 · 212 · 173 · 535 |
Discriminant |
Eigenvalues |
2- 0 3 1 0 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5531,4416522] |
[a1,a2,a3,a4,a6] |
Generators |
[23:2074:1] |
Generators of the group modulo torsion |
j |
-4568511679857/2054594457109 |
j-invariant |
L |
5.9932730635429 |
L(r)(E,1)/r! |
Ω |
0.33535696480259 |
Real period |
R |
2.9785540446784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901d1 57664bn1 129744bo1 |
Quadratic twists by: -4 8 -3 |