Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312i |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-619602374656 = -1 · 212 · 31 · 474 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1909,20090] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:2870:27] |
Generators of the group modulo torsion |
j |
187837175583/151270111 |
j-invariant |
L |
3.1738155611824 |
L(r)(E,1)/r! |
Ω |
0.58921628089677 |
Real period |
R |
5.3865035031822 |
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 |
1457a4 93248z3 |
Quadratic twists by: -4 8 |