Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928ba |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-167649708674646016 = -1 · 222 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 2 1 7- -2 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,78360,-17824912] |
[a1,a2,a3,a4,a6] |
Generators |
[4169:269724:1] |
Generators of the group modulo torsion |
j |
15925559/50176 |
j-invariant |
L |
7.8719197777233 |
L(r)(E,1)/r! |
Ω |
0.16478234500619 |
Real period |
R |
3.9809684392198 |
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 |
2366b1 75712cz1 18928o1 |
Quadratic twists by: -4 8 13 |