Atkin-Lehner |
7- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86387d |
Isogeny class |
Conductor |
86387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-920809144511963 = -1 · 710 · 41 · 433 |
Discriminant |
Eigenvalues |
0 -3 -2 7- -2 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26656,-2222040] |
[a1,a2,a3,a4,a6] |
Generators |
[210:1200:1] |
Generators of the group modulo torsion |
j |
-17804115836928/7826748587 |
j-invariant |
L |
1.3512642535075 |
L(r)(E,1)/r! |
Ω |
0.1829160059257 |
Real period |
R |
1.8468370731461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12341a1 |
Quadratic twists by: -7 |