Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325l |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
26860517578125 = 36 · 510 · 73 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7500,-17969] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:418:1] |
Generators of the group modulo torsion |
j |
6553600/3773 |
j-invariant |
L |
3.8912468765683 |
L(r)(E,1)/r! |
Ω |
0.55836698491835 |
Real period |
R |
3.4844886800903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1925b1 17325bt1 121275dr1 |
Quadratic twists by: -3 5 -7 |