Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bn |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-3612606250824675 = -1 · 311 · 52 · 138 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 2 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,32955,1749361] |
[a1,a2,a3,a4,a6] |
j |
266240/243 |
j-invariant |
L |
4.6381023278974 |
L(r)(E,1)/r! |
Ω |
0.2898813954994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675m1 38025cq1 38025bp1 |
Quadratic twists by: -3 5 13 |