Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bc |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-436731904 = -1 · 219 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 0 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,-2241] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2512:1] |
Generators of the group modulo torsion |
j |
-208537/34 |
j-invariant |
L |
5.2567406789705 |
L(r)(E,1)/r! |
Ω |
0.57365707345842 |
Real period |
R |
4.5817797096371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312cd1 1666f1 53312e1 |
Quadratic twists by: -4 8 -7 |