Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832y |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
11961359424 = 26 · 34 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-614,-2376] |
[a1,a2,a3,a4,a6] |
Generators |
[28:40:1] |
Generators of the group modulo torsion |
j |
400641542848/186896241 |
j-invariant |
L |
3.3525435153371 |
L(r)(E,1)/r! |
Ω |
1.0031594535199 |
Real period |
R |
3.3419846701076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20832bf1 41664do2 62496m1 |
Quadratic twists by: -4 8 -3 |