Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17545b |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
2193125 = 54 · 112 · 29 |
Discriminant |
Eigenvalues |
0 -2 5+ -5 11- -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51,105] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] [-1:12:1] |
Generators of the group modulo torsion |
j |
123633664/18125 |
j-invariant |
L |
3.4514598699193 |
L(r)(E,1)/r! |
Ω |
2.495821730468 |
Real period |
R |
0.69144759575289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87725b1 17545f1 |
Quadratic twists by: 5 -11 |