Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cu |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-7234335539200000000 = -1 · 235 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,296500,113510000] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:8192:1] |
Generators of the group modulo torsion |
j |
28151260695/70647808 |
j-invariant |
L |
6.3577432010672 |
L(r)(E,1)/r! |
Ω |
0.16456755419064 |
Real period |
R |
1.6097095716036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200hi1 3850g1 123200bz1 |
Quadratic twists by: -4 8 5 |