Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860a |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
268948512000 = 28 · 39 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311688,-66977388] |
[a1,a2,a3,a4,a6] |
j |
664588314943488/53375 |
j-invariant |
L |
3.6369894431989 |
L(r)(E,1)/r! |
Ω |
0.20205496946151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76860b1 |
Quadratic twists by: -3 |