Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29280t |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-3747840 = -1 · 212 · 3 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,165] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] |
Generators of the group modulo torsion |
j |
-2515456/915 |
j-invariant |
L |
4.9734323280331 |
L(r)(E,1)/r! |
Ω |
2.34174236393 |
Real period |
R |
1.0619085183407 |
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 |
29280ba1 58560dl1 87840j1 |
Quadratic twists by: -4 8 -3 |