Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264h |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
102831872 = 28 · 11 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 2 -4 4 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-780,8636] |
[a1,a2,a3,a4,a6] |
Generators |
[4320305:37746282:50653] |
Generators of the group modulo torsion |
j |
205269405136/401687 |
j-invariant |
L |
9.1131580774047 |
L(r)(E,1)/r! |
Ω |
1.8896674969908 |
Real period |
R |
9.6452503854886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30316d2 |
Quadratic twists by: -4 |