Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848i |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-90595377152 = -1 · 214 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 7- -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245,-14406] |
[a1,a2,a3,a4,a6] |
Generators |
[53:384:1] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
5.1516626118629 |
L(r)(E,1)/r! |
Ω |
0.51279744279711 |
Real period |
R |
2.5115485091747 |
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 |
4606j1 752a1 |
Quadratic twists by: -4 -7 |