Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bb |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-28308248064000 = -1 · 212 · 39 · 53 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6507,326106] |
[a1,a2,a3,a4,a6] |
Generators |
[7:530:1] |
Generators of the group modulo torsion |
j |
-377933067/351125 |
j-invariant |
L |
6.3564055979485 |
L(r)(E,1)/r! |
Ω |
0.60671036803938 |
Real period |
R |
0.87306974530113 |
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 |
2385c1 38160v1 |
Quadratic twists by: -4 -3 |