Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190d |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-14368590 = -1 · 2 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14,182] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
-273359449/14368590 |
j-invariant |
L |
2.5190897920509 |
L(r)(E,1)/r! |
Ω |
1.8422518936119 |
Real period |
R |
1.3673970431437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17520k1 70080o1 6570bb1 10950r1 |
Quadratic twists by: -4 8 -3 5 |