Atkin-Lehner |
3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
219c |
Isogeny class |
Conductor |
219 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60 |
Modular degree for the optimal curve |
Δ |
4310577 = 310 · 73 |
Discriminant |
Eigenvalues |
1 3+ -4 2 -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82,-305] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] |
Generators of the group modulo torsion |
j |
62146192681/4310577 |
j-invariant |
L |
1.4044028078577 |
L(r)(E,1)/r! |
Ω |
1.5909301235502 |
Real period |
R |
1.7655116174728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3504v1 14016u1 657a1 5475h1 |
Quadratic twists by: -4 8 -3 5 |