Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120b |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4201868011520 = -1 · 211 · 5 · 177 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 4 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,98656] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1156:1] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
4.4862203080571 |
L(r)(E,1)/r! |
Ω |
0.6217275128027 |
Real period |
R |
0.90196674099108 |
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 |
11560d1 92480dw1 115600c1 1360b1 |
Quadratic twists by: -4 8 5 17 |