Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22308b |
Isogeny class |
Conductor |
22308 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-50163211056816 = -1 · 24 · 310 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13069,672814] |
[a1,a2,a3,a4,a6] |
Generators |
[35:507:1] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
2.9484088503276 |
L(r)(E,1)/r! |
Ω |
0.60708842209448 |
Real period |
R |
1.6188794158164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232ca1 66924j1 132b1 |
Quadratic twists by: -4 -3 13 |