Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968fi |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
171763229417472 = 213 · 38 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21747,1061170] |
[a1,a2,a3,a4,a6] |
Generators |
[33:616:1] [-121:1386:1] |
Generators of the group modulo torsion |
j |
286191179/43218 |
j-invariant |
L |
9.2675847447842 |
L(r)(E,1)/r! |
Ω |
0.54817829073207 |
Real period |
R |
0.52831720629425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246h2 40656cz2 121968dp2 |
Quadratic twists by: -4 -3 -11 |