Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540q |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-16612509396000000 = -1 · 28 · 3 · 56 · 77 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78220,10483432] |
[a1,a2,a3,a4,a6] |
Generators |
[489:9430:1] |
Generators of the group modulo torsion |
j |
-1757334737104/551578125 |
j-invariant |
L |
6.8912209355602 |
L(r)(E,1)/r! |
Ω |
0.36953296102467 |
Real period |
R |
3.1080768070941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220i2 |
Quadratic twists by: -7 |