Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030n |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
758379911889600 = 26 · 316 · 52 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23544,-423674] |
[a1,a2,a3,a4,a6] |
Generators |
[353:-6117:1] |
Generators of the group modulo torsion |
j |
1443237959152894969/758379911889600 |
j-invariant |
L |
4.4043675906865 |
L(r)(E,1)/r! |
Ω |
0.40866900671984 |
Real period |
R |
0.3367920858831 |
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 |
90090dx2 |
Quadratic twists by: -3 |