Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62192a |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-113681005568 = -1 · 210 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 4 6 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,845,-13182] |
[a1,a2,a3,a4,a6] |
Generators |
[754:7605:8] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
7.825461046477 |
L(r)(E,1)/r! |
Ω |
0.553325877571 |
Real period |
R |
3.5356475106255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31096e1 368a1 |
Quadratic twists by: -4 13 |