Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43808s |
Isogeny class |
Conductor |
43808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
207474688 = 212 · 373 |
Discriminant |
Eigenvalues |
2- -3 0 3 3 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1480,21904] |
[a1,a2,a3,a4,a6] |
Generators |
[0:148:1] |
Generators of the group modulo torsion |
j |
1728000 |
j-invariant |
L |
4.371902348141 |
L(r)(E,1)/r! |
Ω |
1.7594851717537 |
Real period |
R |
0.6211905644799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43808i1 87616u1 43808j1 |
Quadratic twists by: -4 8 37 |