Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cq |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-2.2690810913955E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7184724,21686527280] |
[a1,a2,a3,a4,a6] |
Generators |
[13912:1677564:1] |
Generators of the group modulo torsion |
j |
214628074889266583/1187360416300086 |
j-invariant |
L |
6.8479708071607 |
L(r)(E,1)/r! |
Ω |
0.071709825820651 |
Real period |
R |
4.7747785728666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fc2 3906s2 41664q2 |
Quadratic twists by: -4 8 -3 |