Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76664a |
Isogeny class |
Conductor |
76664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5515776 |
Modular degree for the optimal curve |
Δ |
-2.7399444755471E+22 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 5 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44941532,116236275668] |
[a1,a2,a3,a4,a6] |
Generators |
[4234:43078:1] |
Generators of the group modulo torsion |
j |
-15283295882302464/41714923579 |
j-invariant |
L |
6.5499727345099 |
L(r)(E,1)/r! |
Ω |
0.11889194509394 |
Real period |
R |
6.886476548707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2072d1 |
Quadratic twists by: 37 |