Atkin-Lehner |
2- 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040bx |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-506452941209600000 = -1 · 222 · 55 · 75 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11+ -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-721600,-238647500] |
[a1,a2,a3,a4,a6] |
j |
-10145044108875614401/123645737600000 |
j-invariant |
L |
1.6368549710391 |
L(r)(E,1)/r! |
Ω |
0.081842750106556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630z1 |
Quadratic twists by: -4 |