Atkin-Lehner |
3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15453a |
Isogeny class |
Conductor |
15453 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25760 |
Modular degree for the optimal curve |
Δ |
-391066953939 = -1 · 33 · 175 · 1012 |
Discriminant |
Eigenvalues |
2 3+ -1 -4 3 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,507,-29765] |
[a1,a2,a3,a4,a6] |
j |
533806460928/14483961257 |
j-invariant |
L |
1.8361507513383 |
L(r)(E,1)/r! |
Ω |
0.45903768783457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15453b1 |
Quadratic twists by: -3 |