Atkin-Lehner |
2- 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
92560p |
Isogeny class |
Conductor |
92560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
24643174400 = 216 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125320,-17034000] |
[a1,a2,a3,a4,a6] |
Generators |
[33903960:1660122035:13824] |
Generators of the group modulo torsion |
j |
53140836723628681/6016400 |
j-invariant |
L |
12.335683078775 |
L(r)(E,1)/r! |
Ω |
0.25374305963439 |
Real period |
R |
12.153714756238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11570c1 |
Quadratic twists by: -4 |