Atkin-Lehner |
2- 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19176d |
Isogeny class |
Conductor |
19176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-205328017152 = -1 · 28 · 310 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5492,-156348] |
[a1,a2,a3,a4,a6] |
j |
-71573854773328/802062567 |
j-invariant |
L |
1.108409842776 |
L(r)(E,1)/r! |
Ω |
0.27710246069401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352f1 57528c1 |
Quadratic twists by: -4 -3 |