Atkin-Lehner |
2- 3+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72816j |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-16089628409856 = -1 · 217 · 37 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 2 -3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1848,189936] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:74:1] |
Generators of the group modulo torsion |
j |
170307838007/3928131936 |
j-invariant |
L |
4.223818688933 |
L(r)(E,1)/r! |
Ω |
0.52201544344879 |
Real period |
R |
2.0228418249426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9102d1 |
Quadratic twists by: -4 |