Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030n |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-12239832084480 = -1 · 212 · 38 · 5 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5576,-50938] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-901:1] |
Generators of the group modulo torsion |
j |
19178028702152711/12239832084480 |
j-invariant |
L |
4.4043675906865 |
L(r)(E,1)/r! |
Ω |
0.40866900671984 |
Real period |
R |
0.6735841717662 |
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 |
90090dx1 |
Quadratic twists by: -3 |