Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992g |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-273357504 = -1 · 26 · 39 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -4 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,1458] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] |
Generators of the group modulo torsion |
j |
-884736/217 |
j-invariant |
L |
8.4137606768727 |
L(r)(E,1)/r! |
Ω |
1.6577935870391 |
Real period |
R |
2.537638216655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999444725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992ed1 1953b1 124992h1 |
Quadratic twists by: -4 8 -3 |