Atkin-Lehner |
2- 3- 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130bw |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
748 |
Product of Tamagawa factors cp |
deg |
2585088 |
Modular degree for the optimal curve |
Δ |
-4.85828928E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,620383,-277800591] |
[a1,a2,a3,a4,a6] |
Generators |
[2567:-136284:1] |
Generators of the group modulo torsion |
j |
36222340258061829431/66643200000000000 |
j-invariant |
L |
12.174374820928 |
L(r)(E,1)/r! |
Ω |
0.10520167905159 |
Real period |
R |
0.15471142939672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710a1 |
Quadratic twists by: -3 |