Atkin-Lehner |
3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10815i |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
2956550625 = 38 · 54 · 7 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-690,-6525] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:21:1] |
Generators of the group modulo torsion |
j |
36333758230561/2956550625 |
j-invariant |
L |
3.6071437053085 |
L(r)(E,1)/r! |
Ω |
0.93631699507014 |
Real period |
R |
1.9262406451558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32445d1 54075n1 75705e1 |
Quadratic twists by: -3 5 -7 |