Atkin-Lehner |
2+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646n |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-28418521376 = -1 · 25 · 73 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -6 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-837,12013] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-66:1] |
Generators of the group modulo torsion |
j |
-189415907407/82852832 |
j-invariant |
L |
2.1692722686169 |
L(r)(E,1)/r! |
Ω |
1.1057570166345 |
Real period |
R |
0.24522479124267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646h1 |
Quadratic twists by: -7 |