Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5814m |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-53025917599296 = -1 · 26 · 39 · 17 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11747,-599453] |
[a1,a2,a3,a4,a6] |
Generators |
[151:950:1] |
Generators of the group modulo torsion |
j |
-9107069805387/2693995712 |
j-invariant |
L |
6.0848305431546 |
L(r)(E,1)/r! |
Ω |
0.22584957982398 |
Real period |
R |
0.44903268124275 |
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 |
46512n1 5814c1 98838ba1 110466a1 |
Quadratic twists by: -4 -3 17 -19 |