Atkin-Lehner |
2+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040p |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-43276008160000 = -1 · 28 · 54 · 76 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31340,-2148400] |
[a1,a2,a3,a4,a6] |
j |
-13298252677940176/169046906875 |
j-invariant |
L |
1.4341847499633 |
L(r)(E,1)/r! |
Ω |
0.17927306585694 |
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 |
58520s2 |
Quadratic twists by: -4 |