Atkin-Lehner |
2+ 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39368b |
Isogeny class |
Conductor |
39368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-152847174597376 = -1 · 28 · 73 · 196 · 37 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 1 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188025,-31324387] |
[a1,a2,a3,a4,a6] |
Generators |
[161495961:10772484758:35937] |
Generators of the group modulo torsion |
j |
-2871658874582895616/597059275771 |
j-invariant |
L |
9.3307081384291 |
L(r)(E,1)/r! |
Ω |
0.11463310344149 |
Real period |
R |
10.174534949225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78736d1 |
Quadratic twists by: -4 |