Atkin-Lehner |
2+ 3- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118296d |
Isogeny class |
Conductor |
118296 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
732160 |
Modular degree for the optimal curve |
Δ |
-21774643076291328 = -1 · 28 · 38 · 31 · 535 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40524,-6367516] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2862:1] |
Generators of the group modulo torsion |
j |
39436025480192/116676542547 |
j-invariant |
L |
2.481274249838 |
L(r)(E,1)/r! |
Ω |
0.19581676003765 |
Real period |
R |
0.15839260846233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000232129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39432b1 |
Quadratic twists by: -3 |