Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170h |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
92107260 = 22 · 33 · 5 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294,1960] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:62:1] |
Generators of the group modulo torsion |
j |
104287581243/3411380 |
j-invariant |
L |
4.9521783612708 |
L(r)(E,1)/r! |
Ω |
1.89406548919 |
Real period |
R |
0.65364402518485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170t2 |
Quadratic twists by: -3 |