Atkin-Lehner |
2- 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290x |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
3311616 |
Modular degree for the optimal curve |
Δ |
-3.9071277209679E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,795847,125363801] |
[a1,a2,a3,a4,a6] |
Generators |
[411:-23048:1] |
Generators of the group modulo torsion |
j |
76469006175196050359/53595716337008640 |
j-invariant |
L |
10.032208190215 |
L(r)(E,1)/r! |
Ω |
0.12952472933247 |
Real period |
R |
0.88015907510542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430o1 |
Quadratic twists by: -3 |