Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488x |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-317995352064 = -1 · 225 · 36 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -2 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1548,-35856] |
[a1,a2,a3,a4,a6] |
Generators |
[382:7424:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
4.0000171219186 |
L(r)(E,1)/r! |
Ω |
0.36825163254853 |
Real period |
R |
2.7155460888496 |
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 |
7488bz1 234a1 832f1 97344bc1 |
Quadratic twists by: -4 8 -3 13 |