Atkin-Lehner |
2+ 5- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650t |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23731200 |
Modular degree for the optimal curve |
Δ |
7.2212219790791E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-511551950,4453094646500] |
[a1,a2,a3,a4,a6] |
Generators |
[13051:-5249:1] |
Generators of the group modulo torsion |
j |
7579890083504768101975349/369726565328848 |
j-invariant |
L |
6.6147537367097 |
L(r)(E,1)/r! |
Ω |
0.11996282187224 |
Real period |
R |
4.595002605753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650bj1 |
Quadratic twists by: 5 |