Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hr |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1925000000 = -1 · 26 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-2338] |
[a1,a2,a3,a4,a6] |
Generators |
[2830759:20099348:50653] |
Generators of the group modulo torsion |
j |
-40000/77 |
j-invariant |
L |
6.7408799898771 |
L(r)(E,1)/r! |
Ω |
0.59122620844932 |
Real period |
R |
11.401524374984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999945278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gt1 61600y1 123200en1 |
Quadratic twists by: -4 8 5 |