Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040cl |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4109938237440 = 213 · 36 · 5 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41336,3219540] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:2226:1] |
Generators of the group modulo torsion |
j |
1907039182132729/1003402890 |
j-invariant |
L |
7.0353684245911 |
L(r)(E,1)/r! |
Ω |
0.7704364428726 |
Real period |
R |
0.76097218340378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130e2 |
Quadratic twists by: -4 |