Atkin-Lehner |
3+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
71961b |
Isogeny class |
Conductor |
71961 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-25282705779 = -1 · 32 · 173 · 833 |
Discriminant |
Eigenvalues |
2 3+ 3 2 -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7304,242837] |
[a1,a2,a3,a4,a6] |
Generators |
[490:1169:8] |
Generators of the group modulo torsion |
j |
-8772405530624/5146083 |
j-invariant |
L |
14.009036078619 |
L(r)(E,1)/r! |
Ω |
1.1793443834068 |
Real period |
R |
2.9696660861939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71961e1 |
Quadratic twists by: 17 |