Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190bb |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-875673271900 = -1 · 22 · 52 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7972,279619] |
[a1,a2,a3,a4,a6] |
j |
-476196576129/7443100 |
j-invariant |
L |
3.5599413490023 |
L(r)(E,1)/r! |
Ω |
0.88998533725057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520cw1 75950h1 2170m1 |
Quadratic twists by: -4 5 -7 |