Atkin-Lehner |
5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101675b |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
-186905657421875 = -1 · 58 · 78 · 83 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -3 -4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5717,-638282] |
[a1,a2,a3,a4,a6] |
Generators |
[82:612:1] |
Generators of the group modulo torsion |
j |
229376/2075 |
j-invariant |
L |
1.357730485067 |
L(r)(E,1)/r! |
Ω |
0.28095486120557 |
Real period |
R |
0.80542623490557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999177425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20335a1 101675m1 |
Quadratic twists by: 5 -7 |