Atkin-Lehner |
2+ 3+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
38184b |
Isogeny class |
Conductor |
38184 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-5168526844542400512 = -1 · 211 · 39 · 375 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -3 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,320552,-84276404] |
[a1,a2,a3,a4,a6] |
Generators |
[5226:160691:8] |
Generators of the group modulo torsion |
j |
1778639273850172750/2523694748311719 |
j-invariant |
L |
4.5853919743971 |
L(r)(E,1)/r! |
Ω |
0.12861586016239 |
Real period |
R |
3.5651839272438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76368c1 114552j1 |
Quadratic twists by: -4 -3 |