Atkin-Lehner |
3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025p |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-112659075 = -1 · 32 · 52 · 193 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-103,-686] |
[a1,a2,a3,a4,a6] |
Generators |
[14:28:1] [124:1381:1] |
Generators of the group modulo torsion |
j |
-4880957440/4506363 |
j-invariant |
L |
10.996572375641 |
L(r)(E,1)/r! |
Ω |
0.72124375388988 |
Real period |
R |
2.5411132546016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104025h1 |
Quadratic twists by: 5 |