Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19312f |
Isogeny class |
Conductor |
19312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
198977479770112 = 225 · 174 · 71 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 -2 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17144,-540460] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:512:1] |
Generators of the group modulo torsion |
j |
136058465999737/48578486272 |
j-invariant |
L |
4.0882370851192 |
L(r)(E,1)/r! |
Ω |
0.42956251603993 |
Real period |
R |
1.1896513698425 |
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 |
2414a1 77248r1 |
Quadratic twists by: -4 8 |