Atkin-Lehner |
2- 3- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214bc |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
30976 |
Modular degree for the optimal curve |
Δ |
-106523451216 = -1 · 24 · 311 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-560,16464] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-602:1] |
Generators of the group modulo torsion |
j |
-19423892355841/106523451216 |
j-invariant |
L |
11.674227334768 |
L(r)(E,1)/r! |
Ω |
0.91565984052794 |
Real period |
R |
0.14488095730205 |
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 |
96642x1 |
Quadratic twists by: -3 |