Atkin-Lehner |
2- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342l |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
88032 |
Modular degree for the optimal curve |
Δ |
-4548761728 = -1 · 27 · 74 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ -6 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-785,9001] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:91:1] [46:243:1] |
Generators of the group modulo torsion |
j |
-22283073841/1894528 |
j-invariant |
L |
8.0046127249723 |
L(r)(E,1)/r! |
Ω |
1.3475047482777 |
Real period |
R |
0.14143624911123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342be1 |
Quadratic twists by: -7 |