Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570k |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3.1877537323584E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-827028,-99852169] |
[a1,a2,a3,a4,a6] |
Generators |
[-799:7497:1] |
Generators of the group modulo torsion |
j |
2591733435976881/1320660640000 |
j-invariant |
L |
9.147908882011 |
L(r)(E,1)/r! |
Ω |
0.16714269369355 |
Real period |
R |
3.4206957689335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2210g2 |
Quadratic twists by: 17 |