Atkin-Lehner |
2- 3- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646bl |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-3482683776 = -1 · 27 · 38 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11+ 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59,2859] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:42:1] [-1:54:1] |
Generators of the group modulo torsion |
j |
-30664297/4777344 |
j-invariant |
L |
13.722338434992 |
L(r)(E,1)/r! |
Ω |
1.1513442262818 |
Real period |
R |
0.42566202561263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882k1 |
Quadratic twists by: -3 |