Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445bl |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13278720 |
Modular degree for the optimal curve |
Δ |
-1.6277015674886E+21 |
Discriminant |
Eigenvalues |
-1 3 5- 7- 2 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22203012,40320853024] |
[a1,a2,a3,a4,a6] |
Generators |
[41183448:320533729:13824] |
Generators of the group modulo torsion |
j |
-92959677/125 |
j-invariant |
L |
9.4289577777136 |
L(r)(E,1)/r! |
Ω |
0.14964769505553 |
Real period |
R |
5.2506420565186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445k1 88445bi1 |
Quadratic twists by: -7 -19 |