Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478p |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-20009265408 = -1 · 28 · 39 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 11+ 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1008,-13824] |
[a1,a2,a3,a4,a6] |
Generators |
[48:192:1] |
Generators of the group modulo torsion |
j |
-430638553/76032 |
j-invariant |
L |
2.9882140925917 |
L(r)(E,1)/r! |
Ω |
0.41959038085315 |
Real period |
R |
0.89021764716529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826bl1 71478br1 |
Quadratic twists by: -3 -19 |