Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478w |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
211101674834755584 = 218 · 36 · 115 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-602928,178986240] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:14096:1] |
Generators of the group modulo torsion |
j |
4847659921191907/42218553344 |
j-invariant |
L |
4.9363171605188 |
L(r)(E,1)/r! |
Ω |
0.31769269132971 |
Real period |
R |
1.5538025566761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7942n1 71478cj1 |
Quadratic twists by: -3 -19 |