Atkin-Lehner |
2- 3- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318r |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-54855648144 = -1 · 24 · 35 · 112 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 11+ -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,209,-11191] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1805:1] |
Generators of the group modulo torsion |
j |
1009328859791/54855648144 |
j-invariant |
L |
7.2483530630724 |
L(r)(E,1)/r! |
Ω |
0.53487213722059 |
Real period |
R |
0.11292968541257 |
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 |
63954m1 |
Quadratic twists by: -3 |