Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800v |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
478224000000 = 210 · 36 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2475,33750] |
[a1,a2,a3,a4,a6] |
Generators |
[10:100:1] |
Generators of the group modulo torsion |
j |
143748/41 |
j-invariant |
L |
7.7004614296265 |
L(r)(E,1)/r! |
Ω |
0.86903960263699 |
Real period |
R |
2.2152216672415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8200f1 2952h1 |
Quadratic twists by: -3 5 |