Atkin-Lehner |
2+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30550k |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-94213152671716000 = -1 · 25 · 53 · 136 · 474 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-504685,138577725] |
[a1,a2,a3,a4,a6] |
Generators |
[495:2970:1] |
Generators of the group modulo torsion |
j |
-113730313110822128141/753705221373728 |
j-invariant |
L |
5.9378883574667 |
L(r)(E,1)/r! |
Ω |
0.33994261809979 |
Real period |
R |
2.9112209146052 |
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 |
30550w2 |
Quadratic twists by: 5 |