Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660p |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-35349759732000000 = -1 · 28 · 3 · 56 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,81844,808500] |
[a1,a2,a3,a4,a6] |
Generators |
[4746:128625:8] |
Generators of the group modulo torsion |
j |
236831235456900656/138084998953125 |
j-invariant |
L |
6.8427873837782 |
L(r)(E,1)/r! |
Ω |
0.22162175851856 |
Real period |
R |
1.7153318211872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640y2 91980bl2 |
Quadratic twists by: -4 -3 |