Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030by |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
Δ |
16829769116160000 = 212 · 38 · 54 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64075,-128143] |
[a1,a2,a3,a4,a6] |
Generators |
[284:-2287:1] |
Generators of the group modulo torsion |
j |
29093098699171306801/16829769116160000 |
j-invariant |
L |
10.778877812288 |
L(r)(E,1)/r! |
Ω |
0.32876320195848 |
Real period |
R |
0.68304467496644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
90090r2 |
Quadratic twists by: -3 |