Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610bb |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1269238572000 = -1 · 25 · 39 · 53 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2452,26831] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-395:1] |
Generators of the group modulo torsion |
j |
2237296892039/1741068000 |
j-invariant |
L |
8.4974053302458 |
L(r)(E,1)/r! |
Ω |
0.55278253807748 |
Real period |
R |
0.25620096948669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9870j1 |
Quadratic twists by: -3 |