Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300bc |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-23101740270000 = -1 · 24 · 315 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4733,-264612] |
[a1,a2,a3,a4,a6] |
Generators |
[88:90:1] |
Generators of the group modulo torsion |
j |
-1172802764800/2310174027 |
j-invariant |
L |
7.8622029538291 |
L(r)(E,1)/r! |
Ω |
0.27056985184845 |
Real period |
R |
1.9371961066896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48300f1 |
Quadratic twists by: 5 |