Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bc |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.2497382907478E+20 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21897136,-39441527488] |
[a1,a2,a3,a4,a6] |
Generators |
[2099873816870682:-2633945339793699602:1334633301] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
3.0136188176065 |
L(r)(E,1)/r! |
Ω |
0.034895179515109 |
Real period |
R |
21.590509487862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014h2 2288e2 |
Quadratic twists by: -4 -7 |