Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190m |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
187488 |
Modular degree for the optimal curve |
Δ |
-2438955008000000 = -1 · 221 · 56 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 4 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29164,-3045680] |
[a1,a2,a3,a4,a6] |
j |
-1142565739056441/1015808000000 |
j-invariant |
L |
1.0568569809222 |
L(r)(E,1)/r! |
Ω |
0.17614283015371 |
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 |
121520cf1 75950bz1 15190j1 |
Quadratic twists by: -4 5 -7 |