Atkin-Lehner |
2+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550n |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-155399218750 = -1 · 2 · 58 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 1 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-617,-19709] |
[a1,a2,a3,a4,a6] |
Generators |
[69:478:1] |
Generators of the group modulo torsion |
j |
-66560265/397822 |
j-invariant |
L |
2.9987844276165 |
L(r)(E,1)/r! |
Ω |
0.4285055591419 |
Real period |
R |
2.33274642039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27550t1 |
Quadratic twists by: 5 |