Atkin-Lehner |
3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
105861c |
Isogeny class |
Conductor |
105861 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
46684701 = 33 · 73 · 712 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-189,884] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
148897792/9261 |
j-invariant |
L |
8.2013430953465 |
L(r)(E,1)/r! |
Ω |
1.9817206385608 |
Real period |
R |
1.3794986966622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105861e1 |
Quadratic twists by: -71 |