Atkin-Lehner |
3+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36465c |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
993888 |
Modular degree for the optimal curve |
Δ |
-6744799021060546875 = -1 · 317 · 59 · 112 · 13 · 17 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 11+ 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-695916,-255782914] |
[a1,a2,a3,a4,a6] |
Generators |
[11091657:7109046233:27] |
Generators of the group modulo torsion |
j |
-37273038763583286267904/6744799021060546875 |
j-invariant |
L |
2.2793632538546 |
L(r)(E,1)/r! |
Ω |
0.081842268719189 |
Real period |
R |
13.925342549303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109395bg1 |
Quadratic twists by: -3 |