Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26712f |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-623137536 = -1 · 28 · 38 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 -4 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,3796] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-54:1] [14:18:1] |
Generators of the group modulo torsion |
j |
-51868672/3339 |
j-invariant |
L |
6.6048326103074 |
L(r)(E,1)/r! |
Ω |
1.5991577545319 |
Real period |
R |
0.25813715812243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53424o1 8904k1 |
Quadratic twists by: -4 -3 |