Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20956g |
Isogeny class |
Conductor |
20956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
-404602437616 = -1 · 24 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 2 1 -1 -2 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156550,-23789091] |
[a1,a2,a3,a4,a6] |
Generators |
[157297992436197013215:9134253055216272340279:45981597397600593] |
Generators of the group modulo torsion |
j |
-5494214435584/5239 |
j-invariant |
L |
7.4920922213228 |
L(r)(E,1)/r! |
Ω |
0.12000684963591 |
Real period |
R |
31.215269145275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824u1 1612b1 |
Quadratic twists by: -4 13 |