Atkin-Lehner |
2- 3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bt |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2.122496008873E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-195003991,1045763011475] |
[a1,a2,a3,a4,a6] |
Generators |
[235362865016260014:6533871880480151243:23992533923688] |
Generators of the group modulo torsion |
j |
820076206880893214178646273009/2122496008872985839843750 |
j-invariant |
L |
9.7380353307345 |
L(r)(E,1)/r! |
Ω |
0.082719171333631 |
Real period |
R |
19.620673929502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090cd8 |
Quadratic twists by: -3 |