Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bw |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
3200 |
Product of Tamagawa factors cp |
Δ |
74219281802265600 = 210 · 310 · 52 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-182826,27068580] |
[a1,a2,a3,a4,a6] |
Generators |
[126:2394:1] |
Generators of the group modulo torsion |
j |
675830415680264684449/74219281802265600 |
j-invariant |
L |
10.037670027138 |
L(r)(E,1)/r! |
Ω |
0.33412851932758 |
Real period |
R |
0.15020672355862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090bx2 |
Quadratic twists by: -3 |