Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bi |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-50847750000 = -1 · 24 · 38 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,-5875] |
[a1,a2,a3,a4,a6] |
Generators |
[2236:105741:1] |
Generators of the group modulo torsion |
j |
340736/279 |
j-invariant |
L |
8.2549583880607 |
L(r)(E,1)/r! |
Ω |
0.62350518420448 |
Real period |
R |
6.6197993128568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800l1 37200c1 4464f1 |
Quadratic twists by: -4 -3 5 |