Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29260g |
Isogeny class |
Conductor |
29260 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-11669951877799600 = -1 · 24 · 52 · 74 · 116 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35419,4531900] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:665:1] |
Generators of the group modulo torsion |
j |
307114522937655296/729371992362475 |
j-invariant |
L |
2.8782491835654 |
L(r)(E,1)/r! |
Ω |
0.28045662075726 |
Real period |
R |
0.85522708639512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117040z1 |
Quadratic twists by: -4 |