Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24402bb |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
572 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-1.482022466902E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1257752,219859520] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:6872:1] |
Generators of the group modulo torsion |
j |
641526528753125401625/432076520962676736 |
j-invariant |
L |
9.4736110251589 |
L(r)(E,1)/r! |
Ω |
0.11516115435744 |
Real period |
R |
0.14381808804717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73206g1 24402o1 |
Quadratic twists by: -3 -7 |