Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ib |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-4683571200000000 = -1 · 219 · 33 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49208,-5354412] |
[a1,a2,a3,a4,a6] |
Generators |
[358:4800:1] |
Generators of the group modulo torsion |
j |
-8236063705/2927232 |
j-invariant |
L |
8.204643666035 |
L(r)(E,1)/r! |
Ω |
0.15746169502483 |
Real period |
R |
0.72368955636499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550q1 92400et1 |
Quadratic twists by: -4 5 |