Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136cr |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2838581879020683264 = 215 · 33 · 79 · 433 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1286952,-556494156] |
[a1,a2,a3,a4,a6] |
Generators |
[-684:2058:1] [-642:2352:1] |
Generators of the group modulo torsion |
j |
489173485343257/5890514616 |
j-invariant |
L |
11.032396200049 |
L(r)(E,1)/r! |
Ω |
0.14184862791879 |
Real period |
R |
1.6203300017824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642k2 14448l2 |
Quadratic twists by: -4 -7 |