Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34888d |
Isogeny class |
Conductor |
34888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-525380903936 = -1 · 210 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 2 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10992,-448624] |
[a1,a2,a3,a4,a6] |
Generators |
[688:17836:1] |
Generators of the group modulo torsion |
j |
-1219284868/4361 |
j-invariant |
L |
4.9599654466061 |
L(r)(E,1)/r! |
Ω |
0.23307951021407 |
Real period |
R |
2.6600179494811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69776b1 4984c1 |
Quadratic twists by: -4 -7 |