Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990r |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331520 |
Modular degree for the optimal curve |
Δ |
-673174853084160 = -1 · 210 · 37 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9540,1193296] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:884:1] |
Generators of the group modulo torsion |
j |
131709075301439/923422295040 |
j-invariant |
L |
3.380823553024 |
L(r)(E,1)/r! |
Ω |
0.37117417032734 |
Real period |
R |
2.2771139692005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330w1 |
Quadratic twists by: -3 |