Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440t |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-2088196435710000 = -1 · 24 · 318 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53058,5192507] |
[a1,a2,a3,a4,a6] |
Generators |
[131:700:1] |
Generators of the group modulo torsion |
j |
-1416213817563136/179029186875 |
j-invariant |
L |
4.5738189226185 |
L(r)(E,1)/r! |
Ω |
0.45056429642226 |
Real period |
R |
2.5378280963858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bh1 18480q1 |
Quadratic twists by: -4 -3 |