Atkin-Lehner |
3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547b |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-3166345161 = -1 · 39 · 74 · 67 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 0 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1406,-20114] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1877:1] |
Generators of the group modulo torsion |
j |
-6499899/67 |
j-invariant |
L |
2.7685422641714 |
L(r)(E,1)/r! |
Ω |
0.38961036333537 |
Real period |
R |
3.5529628119622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29547a1 29547d1 |
Quadratic twists by: -3 -7 |