Atkin-Lehner |
2+ 3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030v |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3530930825822400 = 26 · 34 · 52 · 7 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5248118,-4628011192] |
[a1,a2,a3,a4,a6] |
Generators |
[-1323:685:1] |
Generators of the group modulo torsion |
j |
15985799698004395491861721/3530930825822400 |
j-invariant |
L |
5.3870280553347 |
L(r)(E,1)/r! |
Ω |
0.099746731246611 |
Real period |
R |
2.2502943154164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090di4 |
Quadratic twists by: -3 |