Atkin-Lehner |
3- 11- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
29733d |
Isogeny class |
Conductor |
29733 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-167813781465645909 = -1 · 38 · 112 · 175 · 533 |
Discriminant |
Eigenvalues |
-1 3- -1 -3 11- 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,128724,8523477] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1377:1] |
Generators of the group modulo torsion |
j |
235885953997670098751/167813781465645909 |
j-invariant |
L |
3.1562574439967 |
L(r)(E,1)/r! |
Ω |
0.20444483648336 |
Real period |
R |
0.064325775644571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89199c1 |
Quadratic twists by: -3 |