Atkin-Lehner |
2- 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214o |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-9.3263790766098E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10320134,12771783317] |
[a1,a2,a3,a4,a6] |
Generators |
[-3159:119227:1] |
Generators of the group modulo torsion |
j |
-166744744037964651747097/127933869363646464 |
j-invariant |
L |
6.9328993465004 |
L(r)(E,1)/r! |
Ω |
0.18876125301006 |
Real period |
R |
2.2955251792769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15738f2 |
Quadratic twists by: -3 |