Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830z |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-32772608000 = -1 · 212 · 53 · 112 · 232 |
Discriminant |
Eigenvalues |
2- -3 5- 3 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,318,-8511] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-249:1] |
Generators of the group modulo torsion |
j |
29478095559/270848000 |
j-invariant |
L |
6.0356802993694 |
L(r)(E,1)/r! |
Ω |
0.57739704104298 |
Real period |
R |
0.14518414035405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27830o1 |
Quadratic twists by: -11 |