Atkin-Lehner |
3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101907b |
Isogeny class |
Conductor |
101907 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
8731697481 = 33 · 136 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-539,-1582] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:40:1] |
Generators of the group modulo torsion |
j |
132651/67 |
j-invariant |
L |
2.7312983582075 |
L(r)(E,1)/r! |
Ω |
1.0450923590072 |
Real period |
R |
2.6134516436362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101907a1 603a1 |
Quadratic twists by: -3 13 |