Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104907x |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
-9004482531 = -1 · 34 · 113 · 174 |
Discriminant |
Eigenvalues |
2 3- -3 2 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-87952,10010347] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:293:8] |
Generators of the group modulo torsion |
j |
-676849430528/81 |
j-invariant |
L |
14.593615488419 |
L(r)(E,1)/r! |
Ω |
1.0080290857115 |
Real period |
R |
1.8096719260087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104907z1 104907c1 |
Quadratic twists by: -11 17 |