Atkin-Lehner |
2- 3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464r |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1079308910592 = 216 · 33 · 112 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3315,-53838] |
[a1,a2,a3,a4,a6] |
Generators |
[279:4554:1] |
Generators of the group modulo torsion |
j |
36429280875/9759376 |
j-invariant |
L |
8.4633952786031 |
L(r)(E,1)/r! |
Ω |
0.64177643815756 |
Real period |
R |
3.2968627246058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14058a2 112464p2 |
Quadratic twists by: -4 -3 |