Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19040c |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.31817212676E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20458028,-35691141152] |
[a1,a2,a3,a4,a6] |
Generators |
[5802:202300:1] |
Generators of the group modulo torsion |
j |
-231182560848427917424704/565959991884765625 |
j-invariant |
L |
4.4079752647278 |
L(r)(E,1)/r! |
Ω |
0.035488686323866 |
Real period |
R |
2.5876646201301 |
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 |
19040i2 38080w1 95200w2 |
Quadratic twists by: -4 8 5 |