Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ef |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
89456640000 = 219 · 3 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186401,-30913599] |
[a1,a2,a3,a4,a6] |
Generators |
[651:11100:1] |
Generators of the group modulo torsion |
j |
2732315424539401/341250 |
j-invariant |
L |
4.1355594724359 |
L(r)(E,1)/r! |
Ω |
0.22976681507844 |
Real period |
R |
4.4997353791182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000052354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cp4 21840cc4 |
Quadratic twists by: -4 8 |