Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9386b |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
-27757330432 = -1 · 214 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 2 0 0 3 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,715,-2899] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1129:27] |
Generators of the group modulo torsion |
j |
309512375/212992 |
j-invariant |
L |
4.7694484771174 |
L(r)(E,1)/r! |
Ω |
0.66997078362198 |
Real period |
R |
1.1864817077876 |
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 |
75088p1 84474bs1 122018x1 9386k1 |
Quadratic twists by: -4 -3 13 -19 |