Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050bn |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-4815018000000 = -1 · 27 · 33 · 56 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3888,139281] |
[a1,a2,a3,a4,a6] |
Generators |
[105:897:1] |
Generators of the group modulo torsion |
j |
-415996269625/308161152 |
j-invariant |
L |
7.9632440593098 |
L(r)(E,1)/r! |
Ω |
0.7085463012009 |
Real period |
R |
0.26759161498669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150bd1 1482e1 |
Quadratic twists by: -3 5 |