Atkin-Lehner |
3- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745p |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-36253470621375 = -1 · 39 · 53 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7965,-97200] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1424:1] |
Generators of the group modulo torsion |
j |
76651887468239/49730412375 |
j-invariant |
L |
7.6300740494903 |
L(r)(E,1)/r! |
Ω |
0.37211704134381 |
Real period |
R |
5.1261251014695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915t1 |
Quadratic twists by: -3 |