Atkin-Lehner |
5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18605d |
Isogeny class |
Conductor |
18605 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
465125 = 53 · 612 |
Discriminant |
Eigenvalues |
-2 -2 5- -4 -1 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] [0:2:1] |
Generators of the group modulo torsion |
j |
249856/125 |
j-invariant |
L |
2.5779011120159 |
L(r)(E,1)/r! |
Ω |
2.620809107665 |
Real period |
R |
0.32787598614469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93025b1 18605c1 |
Quadratic twists by: 5 61 |