Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560n |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
297146369298834000 = 24 · 33 · 53 · 11 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248135,-39776100] |
[a1,a2,a3,a4,a6] |
Generators |
[54052:1203789:64] |
Generators of the group modulo torsion |
j |
105601371860192106496/18571648081177125 |
j-invariant |
L |
8.8292708152269 |
L(r)(E,1)/r! |
Ω |
0.21648477103488 |
Real period |
R |
9.0632711574675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280h1 |
Quadratic twists by: -4 |