Atkin-Lehner |
3+ 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025d |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6176484375 = -1 · 3 · 57 · 192 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,412,2156] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:23:1] [14:97:1] |
Generators of the group modulo torsion |
j |
494913671/395295 |
j-invariant |
L |
4.9520009619007 |
L(r)(E,1)/r! |
Ω |
0.86425005224727 |
Real period |
R |
5.7298243139246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20805e1 |
Quadratic twists by: 5 |