Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968x |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-600006451968 = -1 · 28 · 33 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1089,34606] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:84:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
7.0139695014972 |
L(r)(E,1)/r! |
Ω |
0.65473052176176 |
Real period |
R |
2.6781894610915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999551581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984g2 121968v2 1008b2 |
Quadratic twists by: -4 -3 -11 |