Atkin-Lehner |
3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
10815l |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
1460025 = 34 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1215,16200] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
198369494210161/1460025 |
j-invariant |
L |
3.7149251337867 |
L(r)(E,1)/r! |
Ω |
2.4101629172518 |
Real period |
R |
0.77067925723932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32445l1 54075e1 75705c1 |
Quadratic twists by: -3 5 -7 |