Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17545c |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-61565405 = -1 · 5 · 114 · 292 |
Discriminant |
Eigenvalues |
1 -1 5+ -1 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123,598] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:30:1] [6:8:1] |
Generators of the group modulo torsion |
j |
-14235529/4205 |
j-invariant |
L |
6.7172326735723 |
L(r)(E,1)/r! |
Ω |
1.866615206396 |
Real period |
R |
0.5997694517289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87725d1 17545h1 |
Quadratic twists by: 5 -11 |