Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680o |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.7271318604232E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38878559,-625387152095] |
[a1,a2,a3,a4,a6] |
Generators |
[22291984:2892735237:1331] |
Generators of the group modulo torsion |
j |
24792153857163653065559/658848518533019475675 |
j-invariant |
L |
3.9822749622559 |
L(r)(E,1)/r! |
Ω |
0.027642870364004 |
Real period |
R |
6.0025649754274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998770597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ew3 1995g4 |
Quadratic twists by: -4 8 |