Atkin-Lehner |
2- 3+ 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
75696g |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.3039819350038E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10591248,13316603328] |
[a1,a2,a3,a4,a6] |
Generators |
[2549:53618:1] |
Generators of the group modulo torsion |
j |
-32077847424909156468625/129491746460053632 |
j-invariant |
L |
3.6391849642531 |
L(r)(E,1)/r! |
Ω |
0.16542699359015 |
Real period |
R |
2.7498421559437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9462b2 |
Quadratic twists by: -4 |