Atkin-Lehner |
2- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bi |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-419471360 = -1 · 213 · 5 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ -7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,980] |
[a1,a2,a3,a4,a6] |
Generators |
[14:56:1] |
Generators of the group modulo torsion |
j |
-4826809/102410 |
j-invariant |
L |
5.9767136863938 |
L(r)(E,1)/r! |
Ω |
1.4106046108213 |
Real period |
R |
0.52962340241067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999646613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630c1 |
Quadratic twists by: -4 |