Atkin-Lehner |
2- 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144w |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
166464 |
Modular degree for the optimal curve |
Δ |
537049856 = 28 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
2- -2 3 7- 2 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12444,-538472] |
[a1,a2,a3,a4,a6] |
Generators |
[-218235:476:3375] |
Generators of the group modulo torsion |
j |
832527625680592/2097851 |
j-invariant |
L |
7.088703625004 |
L(r)(E,1)/r! |
Ω |
0.45201902214293 |
Real period |
R |
5.2274375584666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036c1 |
Quadratic twists by: -4 |