Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030m |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3.8672604747965E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17410669,27944733776] |
[a1,a2,a3,a4,a6] |
Generators |
[-1964:234572:1] |
Generators of the group modulo torsion |
j |
583673604332368021072960969/386726047479646875000 |
j-invariant |
L |
4.5191717251928 |
L(r)(E,1)/r! |
Ω |
0.16735377895747 |
Real period |
R |
1.3501851447111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090dw2 |
Quadratic twists by: -3 |