Atkin-Lehner |
2- 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030w |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37537509375000 = 23 · 33 · 58 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26183,-1597273] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:208:1] |
Generators of the group modulo torsion |
j |
73519511861296467/1390278125000 |
j-invariant |
L |
10.272540613556 |
L(r)(E,1)/r! |
Ω |
0.37574634527689 |
Real period |
R |
2.2782525016617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030d2 |
Quadratic twists by: -3 |