Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800bd |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-1461283416000 = -1 · 26 · 37 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2682,-22032] |
[a1,a2,a3,a4,a6] |
Generators |
[234:-2295:8] [18:180:1] |
Generators of the group modulo torsion |
j |
266592609856/182660427 |
j-invariant |
L |
9.7242716868524 |
L(r)(E,1)/r! |
Ω |
0.48183307365215 |
Real period |
R |
0.72077953212139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800q1 81600hm1 122400ed1 40800bl1 |
Quadratic twists by: -4 8 -3 5 |