Atkin-Lehner |
2- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550y |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
-7829108817920000 = -1 · 225 · 54 · 132 · 472 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48045,1288947] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:530:1] [123:-3070:1] |
Generators of the group modulo torsion |
j |
19624416938830575/12526574108672 |
j-invariant |
L |
7.416044617234 |
L(r)(E,1)/r! |
Ω |
0.25899720342811 |
Real period |
R |
0.095445620249623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550g1 |
Quadratic twists by: 5 |