Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334q |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-21680360856 = -1 · 23 · 37 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,576,4536] |
[a1,a2,a3,a4,a6] |
Generators |
[45:324:1] |
Generators of the group modulo torsion |
j |
28962726911/29739864 |
j-invariant |
L |
4.269344914984 |
L(r)(E,1)/r! |
Ω |
0.79808587106572 |
Real period |
R |
0.44579005319346 |
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 |
8778p1 |
Quadratic twists by: -3 |