Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552c |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-81718349274842112 = -1 · 210 · 34 · 74 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62328,12360348] |
[a1,a2,a3,a4,a6] |
Generators |
[941:30056:1] |
Generators of the group modulo torsion |
j |
1083360092/3306177 |
j-invariant |
L |
6.7233060306421 |
L(r)(E,1)/r! |
Ω |
0.2412781604703 |
Real period |
R |
3.4831716728729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104bb3 2856c4 |
Quadratic twists by: -4 17 |