Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400ca |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-10603200000000 = -1 · 212 · 3 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4667,-98963] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1175:8] |
Generators of the group modulo torsion |
j |
7024640/6627 |
j-invariant |
L |
3.9717493172038 |
L(r)(E,1)/r! |
Ω |
0.39428221983269 |
Real period |
R |
1.6788944218775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3525n1 56400cx1 |
Quadratic twists by: -4 5 |