Atkin-Lehner |
3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11193h |
Isogeny class |
Conductor |
11193 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-285123859807059 = -1 · 38 · 7 · 133 · 414 |
Discriminant |
Eigenvalues |
2 3- 3 7- -2 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-31584,-2318731] |
[a1,a2,a3,a4,a6] |
j |
-3484487055342702592/285123859807059 |
j-invariant |
L |
8.5548661584535 |
L(r)(E,1)/r! |
Ω |
0.17822637830111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33579l1 78351f1 |
Quadratic twists by: -3 -7 |