Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360x |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1717148160000 = 212 · 34 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4425,95625] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:455:1] |
Generators of the group modulo torsion |
j |
2339923888576/419225625 |
j-invariant |
L |
6.8465342389044 |
L(r)(E,1)/r! |
Ω |
0.79929551662146 |
Real period |
R |
1.0707138491577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dq2 43680bw1 |
Quadratic twists by: -4 8 |