Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907i |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-496774777487571 = -1 · 36 · 119 · 172 |
Discriminant |
Eigenvalues |
0 3+ -3 2 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-223527,-40616170] |
[a1,a2,a3,a4,a6] |
j |
-2412468600832/970299 |
j-invariant |
L |
1.7564930124891 |
L(r)(E,1)/r! |
Ω |
0.10978080776352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9537f1 104907bk1 |
Quadratic twists by: -11 17 |