Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dw |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-2285867630592 = -1 · 218 · 34 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1279,71007] |
[a1,a2,a3,a4,a6] |
Generators |
[13:300:1] |
Generators of the group modulo torsion |
j |
17999471/177957 |
j-invariant |
L |
13.116819073314 |
L(r)(E,1)/r! |
Ω |
0.60212303424275 |
Real period |
R |
2.723035473254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fs1 1911b1 122304h1 |
Quadratic twists by: -4 8 -7 |