Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600cm |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-38700000000 = -1 · 28 · 32 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -1 3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,6537] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-150:1] [8:111:1] |
Generators of the group modulo torsion |
j |
327680/387 |
j-invariant |
L |
8.1218412445219 |
L(r)(E,1)/r! |
Ω |
0.76912125980776 |
Real period |
R |
0.87999141238085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900l1 51600ct1 |
Quadratic twists by: -4 5 |