Atkin-Lehner |
5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17825d |
Isogeny class |
Conductor |
17825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1281171875 = -1 · 57 · 232 · 31 |
Discriminant |
Eigenvalues |
2 1 5+ 4 0 -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,92,1719] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:321:8] |
Generators of the group modulo torsion |
j |
5451776/81995 |
j-invariant |
L |
12.341694732322 |
L(r)(E,1)/r! |
Ω |
1.1356434788232 |
Real period |
R |
2.7168946422145 |
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 |
3565b1 |
Quadratic twists by: 5 |