Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bi |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1073234313216 = -1 · 222 · 39 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,58320] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:297:1] |
Generators of the group modulo torsion |
j |
-132651/208 |
j-invariant |
L |
4.1057272197216 |
L(r)(E,1)/r! |
Ω |
0.78336684843948 |
Real period |
R |
2.6205648272585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488h1 1872j1 7488bg1 97344dw1 |
Quadratic twists by: -4 8 -3 13 |