Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38700g |
Isogeny class |
Conductor |
38700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-3472280620282800 = -1 · 24 · 310 · 52 · 435 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -1 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69420,-7589455] |
[a1,a2,a3,a4,a6] |
Generators |
[439:6822:1] |
Generators of the group modulo torsion |
j |
-126879079874560/11907683883 |
j-invariant |
L |
4.6407934677615 |
L(r)(E,1)/r! |
Ω |
0.14628049393658 |
Real period |
R |
5.2875510407804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900d1 38700q1 |
Quadratic twists by: -3 5 |