Atkin-Lehner |
2- 3+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bd |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
31912704 |
Modular degree for the optimal curve |
Δ |
-6.9411937123123E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565730400,-5179163040000] |
[a1,a2,a3,a4,a6] |
Generators |
[14167475:2220785650:343] |
Generators of the group modulo torsion |
j |
-4888687926204690735691893601/169462737117000000000 |
j-invariant |
L |
6.0665655248028 |
L(r)(E,1)/r! |
Ω |
0.015478051115546 |
Real period |
R |
10.887398527205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998874234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810u1 |
Quadratic twists by: -4 |