Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bl |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
292621106316798675 = 315 · 52 · 138 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -5 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2506640,1527921672] |
[a1,a2,a3,a4,a6] |
j |
117161545345/19683 |
j-invariant |
L |
1.7873278240996 |
L(r)(E,1)/r! |
Ω |
0.29788797068173 |
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 |
12675d1 38025ci1 38025bi1 |
Quadratic twists by: -3 5 13 |