Atkin-Lehner |
2+ 3+ 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29256a |
Isogeny class |
Conductor |
29256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1485736704 = -1 · 28 · 32 · 233 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -2 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-644,-6348] |
[a1,a2,a3,a4,a6] |
Generators |
[74:588:1] |
Generators of the group modulo torsion |
j |
-115562131792/5803659 |
j-invariant |
L |
6.1222903475159 |
L(r)(E,1)/r! |
Ω |
0.47241424413327 |
Real period |
R |
3.2398950833651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58512g1 87768n1 |
Quadratic twists by: -4 -3 |