Atkin-Lehner |
2+ 3+ 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458b |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-3318627932928 = -1 · 28 · 33 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11- 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1239,-88931] |
[a1,a2,a3,a4,a6] |
Generators |
[62:233:1] |
Generators of the group modulo torsion |
j |
-7794190562283/122912145664 |
j-invariant |
L |
3.5561963857794 |
L(r)(E,1)/r! |
Ω |
0.34091234086675 |
Real period |
R |
2.6078524893118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73458t1 |
Quadratic twists by: -3 |