Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350t |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-3675800250000 = -1 · 24 · 311 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -3 6 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1917,-97259] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3023:1] |
Generators of the group modulo torsion |
j |
-68417929/322704 |
j-invariant |
L |
4.8745859655653 |
L(r)(E,1)/r! |
Ω |
0.32661248201583 |
Real period |
R |
3.7311693780662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450m1 1494c1 |
Quadratic twists by: -3 5 |