Atkin-Lehner |
2- 3+ 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
49416d |
Isogeny class |
Conductor |
49416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
24251000832 = 211 · 34 · 29 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1024,-9812] |
[a1,a2,a3,a4,a6] |
Generators |
[362:1485:8] |
Generators of the group modulo torsion |
j |
58038700034/11841309 |
j-invariant |
L |
3.787148131907 |
L(r)(E,1)/r! |
Ω |
0.8559864733028 |
Real period |
R |
4.4243083857406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98832b2 |
Quadratic twists by: -4 |