Atkin-Lehner |
3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42273g |
Isogeny class |
Conductor |
42273 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6357745709634627 = 39 · 72 · 116 · 612 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48281,-1386538] |
[a1,a2,a3,a4,a6] |
Generators |
[474:-9296:1] |
Generators of the group modulo torsion |
j |
17073262625702473/8721187530363 |
j-invariant |
L |
3.1787036836612 |
L(r)(E,1)/r! |
Ω |
0.34014192244093 |
Real period |
R |
0.38938448359644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14091a2 |
Quadratic twists by: -3 |