Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
32136c |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-73954032480432 = -1 · 24 · 35 · 132 · 1034 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10153,123708] |
[a1,a2,a3,a4,a6] |
Generators |
[5008511196:78691518620:75686967] |
Generators of the group modulo torsion |
j |
7233427156969472/4622127030027 |
j-invariant |
L |
6.0344749928067 |
L(r)(E,1)/r! |
Ω |
0.38205225953363 |
Real period |
R |
15.794894133522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64272f1 96408s1 |
Quadratic twists by: -4 -3 |