Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488q |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-141175437369458688 = -1 · 214 · 39 · 76 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179091,34318674] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:6832:1] |
Generators of the group modulo torsion |
j |
-7879411029699/1751087716 |
j-invariant |
L |
6.2068750472498 |
L(r)(E,1)/r! |
Ω |
0.31238757714904 |
Real period |
R |
0.82788117245916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7686a2 61488p2 |
Quadratic twists by: -4 -3 |