Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200a |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-2322594000000000 = -1 · 210 · 39 · 59 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 0 3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20925,2004750] |
[a1,a2,a3,a4,a6] |
Generators |
[135:2700:1] |
Generators of the group modulo torsion |
j |
3217428/7375 |
j-invariant |
L |
6.7546510880071 |
L(r)(E,1)/r! |
Ω |
0.32027234073215 |
Real period |
R |
1.3181459650057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106200y1 21240g1 |
Quadratic twists by: -3 5 |