Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907c |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6697728 |
Modular degree for the optimal curve |
Δ |
-217346318401307139 = -1 · 34 · 113 · 1710 |
Discriminant |
Eigenvalues |
2 3+ 3 -2 11+ 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25418224,49333345203] |
[a1,a2,a3,a4,a6] |
Generators |
[500872978:6147632515:195112] |
Generators of the group modulo torsion |
j |
-676849430528/81 |
j-invariant |
L |
13.485028578232 |
L(r)(E,1)/r! |
Ω |
0.24448296435784 |
Real period |
R |
13.789333580143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104907e1 104907x1 |
Quadratic twists by: -11 17 |