Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030p |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
562247925904214550 = 2 · 36 · 52 · 74 · 113 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-294379,49753256] |
[a1,a2,a3,a4,a6] |
Generators |
[-30188:600647:64] |
Generators of the group modulo torsion |
j |
2821253224259005616809/562247925904214550 |
j-invariant |
L |
5.0052125478512 |
L(r)(E,1)/r! |
Ω |
0.27614552457331 |
Real period |
R |
0.75521963699892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090ds2 |
Quadratic twists by: -3 |