Atkin-Lehner |
3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525c |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-45870734639925 = -1 · 34 · 52 · 137 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 3 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-416600,103323945] |
[a1,a2,a3,a4,a6] |
j |
-319847624192219760625/1834829385597 |
j-invariant |
L |
2.2701972125849 |
L(r)(E,1)/r! |
Ω |
0.56754930314623 |
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 |
55575o1 18525t1 |
Quadratic twists by: -3 5 |