Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ct |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
250014995008192512 = 218 · 310 · 75 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51627756,142781842096] |
[a1,a2,a3,a4,a6] |
Generators |
[4086:6944:1] |
Generators of the group modulo torsion |
j |
79635371136974578297/1308273687 |
j-invariant |
L |
5.137632937262 |
L(r)(E,1)/r! |
Ω |
0.22259266485551 |
Real period |
R |
0.57702180495254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000170306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fg2 1953e2 41664by2 |
Quadratic twists by: -4 8 -3 |