Atkin-Lehner |
3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10815i |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12160559937645 = -1 · 32 · 5 · 74 · 1034 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10590,-452655] |
[a1,a2,a3,a4,a6] |
Generators |
[11508:113379:64] |
Generators of the group modulo torsion |
j |
-131345184699560161/12160559937645 |
j-invariant |
L |
3.6071437053085 |
L(r)(E,1)/r! |
Ω |
0.23407924876754 |
Real period |
R |
7.7049625806233 |
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 |
32445d3 54075n3 75705e3 |
Quadratic twists by: -3 5 -7 |