Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650x |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-11532269700 = -1 · 22 · 312 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3942,-94424] |
[a1,a2,a3,a4,a6] |
Generators |
[110:836:1] |
Generators of the group modulo torsion |
j |
-371764575625/632772 |
j-invariant |
L |
4.2635338400298 |
L(r)(E,1)/r! |
Ω |
0.30122494615899 |
Real period |
R |
3.5384966304126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bp1 97650ev1 |
Quadratic twists by: -3 5 |