Atkin-Lehner |
3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
741d |
Isogeny class |
Conductor |
741 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-1507513337183302371 = -1 · 310 · 134 · 197 |
Discriminant |
Eigenvalues |
2 3- 1 -1 5 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,101470,57781877] |
[a1,a2,a3,a4,a6] |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
3.9710376101687 |
L(r)(E,1)/r! |
Ω |
0.19855188050843 |
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 |
11856p1 47424y1 2223b1 18525h1 |
Quadratic twists by: -4 8 -3 5 |