Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14924c |
Isogeny class |
Conductor |
14924 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-7909481216 = -1 · 28 · 73 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- 4 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2525,48191] |
[a1,a2,a3,a4,a6] |
Generators |
[29:14:1] |
Generators of the group modulo torsion |
j |
-6957286383616/30896411 |
j-invariant |
L |
6.5949517176949 |
L(r)(E,1)/r! |
Ω |
1.3210390184322 |
Real period |
R |
0.55469399681082 |
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 |
59696i1 104468z1 |
Quadratic twists by: -4 -7 |