Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520m |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-13845841000000 = -1 · 26 · 56 · 614 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-155040,-23446150] |
[a1,a2,a3,a4,a6] |
Generators |
[1243603185:24331457350:1860867] |
Generators of the group modulo torsion |
j |
-6439880646461859904/216341265625 |
j-invariant |
L |
8.0785573494805 |
L(r)(E,1)/r! |
Ω |
0.12029775159131 |
Real period |
R |
11.192447133075 |
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 |
19520n1 9760g2 97600t1 |
Quadratic twists by: -4 8 5 |