Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600t |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1368000 = -1 · 26 · 32 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22,48] |
[a1,a2,a3,a4,a6] |
Generators |
[22:108:1] |
Generators of the group modulo torsion |
j |
140608/171 |
j-invariant |
L |
8.4378873201046 |
L(r)(E,1)/r! |
Ω |
1.811014091262 |
Real period |
R |
2.3296028895666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bl1 91200cg1 45600bj1 |
Quadratic twists by: -4 8 5 |