Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gm |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
788480000 = 214 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -1 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2000,34400] |
[a1,a2,a3,a4,a6] |
Generators |
[25:5:1] |
Generators of the group modulo torsion |
j |
86400000/77 |
j-invariant |
L |
5.8372914240874 |
L(r)(E,1)/r! |
Ω |
1.5828415992645 |
Real period |
R |
1.2292852313789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dj1 30800q1 123200fc1 |
Quadratic twists by: -4 8 5 |