Atkin-Lehner |
2- 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080cg |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9486608178216960 = 217 · 34 · 5 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34284320,-77277961740] |
[a1,a2,a3,a4,a6] |
j |
1088053867292412065179681/2316066449760 |
j-invariant |
L |
3.9930582226491 |
L(r)(E,1)/r! |
Ω |
0.062391534726121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510p4 |
Quadratic twists by: -4 |