Atkin-Lehner |
2+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
29050i |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-498207500 = -1 · 22 · 54 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -4 -2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100,1100] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:8:1] [-10:40:1] |
Generators of the group modulo torsion |
j |
-179726425/797132 |
j-invariant |
L |
5.1894533985504 |
L(r)(E,1)/r! |
Ω |
1.4398807534913 |
Real period |
R |
0.1501702307051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29050j1 |
Quadratic twists by: 5 |