Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848j |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-212421387248 = -1 · 24 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401,-50421] |
[a1,a2,a3,a4,a6] |
Generators |
[157102:1523745:1331] |
Generators of the group modulo torsion |
j |
-338688/47 |
j-invariant |
L |
3.3115919872183 |
L(r)(E,1)/r! |
Ω |
0.33840501136982 |
Real period |
R |
9.7858834117536 |
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 |
9212c1 36848g1 |
Quadratic twists by: -4 -7 |