Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570p |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.0177248619684E+28 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14777200315,691392842819217] |
[a1,a2,a3,a4,a6] |
Generators |
[74374:1900313:1] |
Generators of the group modulo torsion |
j |
3009261308803109129809313/85820312500000000 |
j-invariant |
L |
6.3727387150234 |
L(r)(E,1)/r! |
Ω |
0.037860757408519 |
Real period |
R |
2.6300066147074 |
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 |
37570g2 |
Quadratic twists by: 17 |