Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880y |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-42023836800000 = -1 · 210 · 35 · 55 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-521680,144855428] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-7650:1] |
Generators of the group modulo torsion |
j |
-15333353550269455684/41038903125 |
j-invariant |
L |
7.2761878700476 |
L(r)(E,1)/r! |
Ω |
0.55807010444952 |
Real period |
R |
0.086920834402027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440q1 |
Quadratic twists by: -4 |