Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400z |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-121968000000 = -1 · 210 · 32 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,16912] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-132:1] |
Generators of the group modulo torsion |
j |
-62500/7623 |
j-invariant |
L |
6.5944743107504 |
L(r)(E,1)/r! |
Ω |
0.8581795814769 |
Real period |
R |
0.96053239426965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200bc1 3696k1 |
Quadratic twists by: -4 5 |