Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144bf |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
Δ |
-2.2955113508308E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77794329,273950372871] |
[a1,a2,a3,a4,a6] |
Generators |
[-1479:621108:1] |
Generators of the group modulo torsion |
j |
-12711815691958499017454272/560427575886434663451 |
j-invariant |
L |
6.0580590983465 |
L(r)(E,1)/r! |
Ω |
0.081192707571516 |
Real period |
R |
2.8697438463966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144s2 39072c1 |
Quadratic twists by: -4 8 |