Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dx |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
261120000 = 213 · 3 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,788] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
390625/102 |
j-invariant |
L |
5.9173361071766 |
L(r)(E,1)/r! |
Ω |
1.6335114139863 |
Real period |
R |
1.8112319438088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550y1 81600hn1 61200gu1 20400by1 |
Quadratic twists by: -4 8 -3 5 |