Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bu |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
24728739840000 = 216 · 32 · 54 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7840,121600] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:480:1] |
Generators of the group modulo torsion |
j |
13012697849761/6037290000 |
j-invariant |
L |
5.0574875954929 |
L(r)(E,1)/r! |
Ω |
0.6012481550035 |
Real period |
R |
1.0514559489803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000708 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770bb2 |
Quadratic twists by: -4 |