Atkin-Lehner |
3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41925f |
Isogeny class |
Conductor |
41925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-244883547675 = -1 · 36 · 52 · 132 · 433 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 -4 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,112,-23842] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-581:1] |
Generators of the group modulo torsion |
j |
6159626240/9795341907 |
j-invariant |
L |
1.904360663234 |
L(r)(E,1)/r! |
Ω |
0.45906687837286 |
Real period |
R |
0.34569412304131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125775bb1 41925n1 |
Quadratic twists by: -3 5 |