Atkin-Lehner |
2+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79768b |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-72904123136 = -1 · 28 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ -1 1 -1 0 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,620,11348] |
[a1,a2,a3,a4,a6] |
Generators |
[74:676:1] |
Generators of the group modulo torsion |
j |
21296/59 |
j-invariant |
L |
3.8892297591948 |
L(r)(E,1)/r! |
Ω |
0.76693261559729 |
Real period |
R |
1.2677873123504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
472e1 |
Quadratic twists by: 13 |