Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200v |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
30823578000000000 = 210 · 312 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288075,58909750] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:10800:1] |
Generators of the group modulo torsion |
j |
226669409284/2642625 |
j-invariant |
L |
4.1550032793598 |
L(r)(E,1)/r! |
Ω |
0.37254040424864 |
Real period |
R |
2.7882903652314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bh1 17400bl1 10440u1 |
Quadratic twists by: -4 -3 5 |