Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400a |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-582301872000000 = -1 · 210 · 39 · 56 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4725,-1154250] |
[a1,a2,a3,a4,a6] |
Generators |
[490:10900:1] |
Generators of the group modulo torsion |
j |
37044/1849 |
j-invariant |
L |
4.6636635195651 |
L(r)(E,1)/r! |
Ω |
0.24732825834712 |
Real period |
R |
4.7140423333348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77400x2 3096g2 |
Quadratic twists by: -3 5 |