Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272f |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
133120 |
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 |
[5668:77805:64] |
Generators of the group modulo torsion |
j |
7233427156969472/4622127030027 |
j-invariant |
L |
9.2035249100792 |
L(r)(E,1)/r! |
Ω |
0.35169476289745 |
Real period |
R |
5.2338140232497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32136c1 |
Quadratic twists by: -4 |