Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8360b |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
1337600 = 28 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76,276] |
[a1,a2,a3,a4,a6] |
j |
192143824/5225 |
j-invariant |
L |
2.7015847261363 |
L(r)(E,1)/r! |
Ω |
2.7015847261363 |
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 |
16720j1 66880bp1 75240br1 41800s1 |
Quadratic twists by: -4 8 -3 5 |