Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856b |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-291339095826023424 = -1 · 210 · 34 · 378 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 0 -2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-219496,47413084] |
[a1,a2,a3,a4,a6] |
Generators |
[913:24642:1] |
Generators of the group modulo torsion |
j |
-325156/81 |
j-invariant |
L |
3.5053291063698 |
L(r)(E,1)/r! |
Ω |
0.29310660256404 |
Real period |
R |
0.99660245217547 |
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 |
65712i1 98568r1 32856i1 |
Quadratic twists by: -4 -3 37 |