Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830m |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-42325951250000 = -1 · 24 · 57 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19032,1050064] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1476:1] [-12:1136:1] |
Generators of the group modulo torsion |
j |
-6301258312598161/349801250000 |
j-invariant |
L |
5.3681288979195 |
L(r)(E,1)/r! |
Ω |
0.63443907701244 |
Real period |
R |
0.15109322246848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27830y1 |
Quadratic twists by: -11 |