Atkin-Lehner |
3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249z |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-151423327897281 = -1 · 37 · 118 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- -3 -3 11- -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-194450,-33024895] |
[a1,a2,a3,a4,a6] |
Generators |
[945:24574:1] |
Generators of the group modulo torsion |
j |
-458974157210353/85474521 |
j-invariant |
L |
4.9692335715201 |
L(r)(E,1)/r! |
Ω |
0.11367448296862 |
Real period |
R |
3.1224707934356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659l1 |
Quadratic twists by: -11 |