Atkin-Lehner |
2+ 3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030v |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
17920821606187500 = 22 · 312 · 56 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74243,-4381342] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:790:1] |
Generators of the group modulo torsion |
j |
45256591364557383721/17920821606187500 |
j-invariant |
L |
5.3870280553347 |
L(r)(E,1)/r! |
Ω |
0.29924019373983 |
Real period |
R |
0.75009810513879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090di2 |
Quadratic twists by: -3 |