Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30855m |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14084928 |
Modular degree for the optimal curve |
Δ |
4.5873768707657E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-866537873,9818018590103] |
[a1,a2,a3,a4,a6] |
Generators |
[-204043299:-6754428739195:2146689] |
Generators of the group modulo torsion |
j |
30517727539306343882651/194549560546875 |
j-invariant |
L |
9.4693884975252 |
L(r)(E,1)/r! |
Ω |
0.083572840231756 |
Real period |
R |
12.589667583213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565w1 30855o1 |
Quadratic twists by: -3 -11 |