Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37240q |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-34348990278400 = -1 · 28 · 52 · 710 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,964,282064] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:490:1] |
Generators of the group modulo torsion |
j |
3286064/1140475 |
j-invariant |
L |
4.1973636474117 |
L(r)(E,1)/r! |
Ω |
0.50753881387267 |
Real period |
R |
1.0337543486045 |
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 |
74480m2 5320g2 |
Quadratic twists by: -4 -7 |