Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bo |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5093163048960000 = 216 · 36 · 54 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-849616,301690816] |
[a1,a2,a3,a4,a6] |
Generators |
[186:12250:1] |
Generators of the group modulo torsion |
j |
16558932000702804049/1243448010000 |
j-invariant |
L |
5.0066643399179 |
L(r)(E,1)/r! |
Ω |
0.41056197174726 |
Real period |
R |
3.0486654162651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003835 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390s2 |
Quadratic twists by: -4 |