Atkin-Lehner |
3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1953a |
Isogeny class |
Conductor |
1953 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-5859 = -1 · 33 · 7 · 31 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ -4 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-884736/217 |
j-invariant |
L |
2.8568323713739 |
L(r)(E,1)/r! |
Ω |
1.5057420589672 |
Real period |
R |
0.94864600293276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31248bf1 124992h1 1953b1 48825d1 |
Quadratic twists by: -4 8 -3 5 |