Atkin-Lehner |
2- 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650ck |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-1320729300 = -1 · 22 · 39 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-493,-4603] |
[a1,a2,a3,a4,a6] |
Generators |
[26:5:1] |
Generators of the group modulo torsion |
j |
-530126504185/52829172 |
j-invariant |
L |
14.611803125772 |
L(r)(E,1)/r! |
Ω |
0.50373986524295 |
Real period |
R |
1.6114802422175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650m1 |
Quadratic twists by: 5 |