Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488g |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-26314681462784 = -1 · 212 · 113 · 136 |
Discriminant |
Eigenvalues |
2+ -3 -1 0 11+ 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1352,246064] |
[a1,a2,a3,a4,a6] |
Generators |
[52:676:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
2.3742983682202 |
L(r)(E,1)/r! |
Ω |
0.51243976769266 |
Real period |
R |
1.1583304604275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488l1 118976dn1 352f1 |
Quadratic twists by: -4 8 13 |