Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728bb |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-3.6096952664766E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,317814,280717031] |
[a1,a2,a3,a4,a6] |
Generators |
[-2926:85995:8] |
Generators of the group modulo torsion |
j |
2587063175168/26304786963 |
j-invariant |
L |
3.8345366551334 |
L(r)(E,1)/r! |
Ω |
0.15140748925031 |
Real period |
R |
3.1657422278813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864o1 30576d1 13104w1 |
Quadratic twists by: -4 -3 -7 |