Atkin-Lehner |
2+ 13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328c |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36352 |
Modular degree for the optimal curve |
Δ |
-67664896 = -1 · 210 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 -4 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] [0:14:1] [2:20:1] |
Generators of the group modulo torsion |
j |
94559612/66079 |
j-invariant |
L |
8.7660903954276 |
L(r)(E,1)/r! |
Ω |
1.2367442880622 |
Real period |
R |
3.544018953655 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40664b1 |
Quadratic twists by: -4 |