Atkin-Lehner |
5+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
120175j |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
2283325 = 52 · 11 · 192 · 23 |
Discriminant |
Eigenvalues |
0 1 5+ -1 11- 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-363,-2786] |
[a1,a2,a3,a4,a6] |
Generators |
[-1420:61:125] |
Generators of the group modulo torsion |
j |
212177551360/91333 |
j-invariant |
L |
6.4861732730226 |
L(r)(E,1)/r! |
Ω |
1.0935394715143 |
Real period |
R |
2.9656786577746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998902501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120175q1 |
Quadratic twists by: 5 |