Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19140j |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
480710823120 = 24 · 310 · 5 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11908205,15812792808] |
[a1,a2,a3,a4,a6] |
Generators |
[1528:34452:1] |
Generators of the group modulo torsion |
j |
11671929971048586285285376/30044426445 |
j-invariant |
L |
6.0983312641157 |
L(r)(E,1)/r! |
Ω |
0.4345208251124 |
Real period |
R |
1.4034612178917 |
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 |
76560bj1 57420h1 95700g1 |
Quadratic twists by: -4 -3 5 |