Atkin-Lehner |
2+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
106600d |
Isogeny class |
Conductor |
106600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
596942011250000 = 24 · 57 · 132 · 414 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21050,3625] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:221:1] |
Generators of the group modulo torsion |
j |
4126102419456/2387768045 |
j-invariant |
L |
6.4348648459992 |
L(r)(E,1)/r! |
Ω |
0.43554807969911 |
Real period |
R |
3.6935444831003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028608 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21320c1 |
Quadratic twists by: 5 |