Atkin-Lehner |
2+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43808j |
Isogeny class |
Conductor |
43808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1534464 |
Modular degree for the optimal curve |
Δ |
532323286200635392 = 212 · 379 |
Discriminant |
Eigenvalues |
2+ -3 0 3 3 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2026120,1109503312] |
[a1,a2,a3,a4,a6] |
j |
1728000 |
j-invariant |
L |
1.1570303214327 |
L(r)(E,1)/r! |
Ω |
0.28925758041511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43808r1 87616t1 43808s1 |
Quadratic twists by: -4 8 37 |