Atkin-Lehner |
2+ 3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bl |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
-984041688363980400 = -1 · 24 · 320 · 52 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1071,-47727347] |
[a1,a2,a3,a4,a6] |
Generators |
[737:18419:1] |
Generators of the group modulo torsion |
j |
186267240431/1349851424367600 |
j-invariant |
L |
5.095257682578 |
L(r)(E,1)/r! |
Ω |
0.1276242031249 |
Real period |
R |
4.9904892227299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bt1 |
Quadratic twists by: -3 |