Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030ca |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
4320 |
Product of Tamagawa factors cp |
Δ |
2.4088373949483E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18228340,29860226192] |
[a1,a2,a3,a4,a6] |
Generators |
[2264:12908:1] |
Generators of the group modulo torsion |
j |
669830741429673011093156161/2408837394948304320000 |
j-invariant |
L |
10.848975471086 |
L(r)(E,1)/r! |
Ω |
0.14577407287244 |
Real period |
R |
0.068910386191948 |
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 |
90090t2 |
Quadratic twists by: -3 |