Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15015k |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1092000 |
Modular degree for the optimal curve |
Δ |
-690109371123046875 = -1 · 35 · 510 · 75 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-71476861,-232616659709] |
[a1,a2,a3,a4,a6] |
Generators |
[11807:754687:1] |
Generators of the group modulo torsion |
j |
-40385004269078212253354819584/690109371123046875 |
j-invariant |
L |
4.2359424941187 |
L(r)(E,1)/r! |
Ω |
0.025961404874057 |
Real period |
R |
3.263261379473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45045bo1 75075f1 105105bc1 |
Quadratic twists by: -3 5 -7 |