Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030p |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8674775484375000000 = -1 · 26 · 3 · 512 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-362744,-164808058] |
[a1,a2,a3,a4,a6] |
Generators |
[1514632:-81148197:512] |
Generators of the group modulo torsion |
j |
-5278648018745136075769/8674775484375000000 |
j-invariant |
L |
5.0052125478512 |
L(r)(E,1)/r! |
Ω |
0.092048508191104 |
Real period |
R |
4.5313178219935 |
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 |
90090ds3 |
Quadratic twists by: -3 |