Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290q |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1972400625000000 = 26 · 38 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225090,-40992044] |
[a1,a2,a3,a4,a6] |
j |
1730078753010884641/2705625000000 |
j-invariant |
L |
0.87682151265459 |
L(r)(E,1)/r! |
Ω |
0.21920537815083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430be1 |
Quadratic twists by: -3 |