Atkin-Lehner |
2+ 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582f |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
570901781988 = 22 · 34 · 176 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -2 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2173,13225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:115:1] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
5.7567917648233 |
L(r)(E,1)/r! |
Ω |
0.81412574403846 |
Real period |
R |
3.5355667954796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997722487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438g1 |
Quadratic twists by: 17 |