Atkin-Lehner |
5- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
103075q |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2820960 |
Modular degree for the optimal curve |
Δ |
-28488963671875 = -1 · 58 · 73 · 193 · 31 |
Discriminant |
Eigenvalues |
2 2 5- 7+ -2 -6 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2828208,1831634443] |
[a1,a2,a3,a4,a6] |
Generators |
[6317904124:7307077889:6644672] |
Generators of the group modulo torsion |
j |
-6404686406761123840/72931747 |
j-invariant |
L |
18.126331802727 |
L(r)(E,1)/r! |
Ω |
0.46689260174203 |
Real period |
R |
12.941114469808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103075j1 |
Quadratic twists by: 5 |