Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488q |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
26989521076224 = 216 · 39 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187731,31306770] |
[a1,a2,a3,a4,a6] |
Generators |
[222:756:1] |
Generators of the group modulo torsion |
j |
9075706699779/334768 |
j-invariant |
L |
6.2068750472498 |
L(r)(E,1)/r! |
Ω |
0.62477515429808 |
Real period |
R |
1.6557623449183 |
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 |
7686a1 61488p1 |
Quadratic twists by: -4 -3 |