Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bm |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
22176000 = 28 · 32 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148,-608] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:6:1] |
Generators of the group modulo torsion |
j |
11279504/693 |
j-invariant |
L |
5.559030007204 |
L(r)(E,1)/r! |
Ω |
1.3732733592717 |
Real period |
R |
2.0240070836636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200dd1 92400ct1 |
Quadratic twists by: -4 5 |