Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bw |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
Δ |
5203017061500978720 = 25 · 320 · 5 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-692426,-192772860] |
[a1,a2,a3,a4,a6] |
Generators |
[-434:-4886:1] |
Generators of the group modulo torsion |
j |
36715027007251835026849/5203017061500978720 |
j-invariant |
L |
10.037670027138 |
L(r)(E,1)/r! |
Ω |
0.16706425966379 |
Real period |
R |
0.30041344711724 |
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 |
90090bx4 |
Quadratic twists by: -3 |