Atkin-Lehner |
2- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550bd |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-244286200000000 = -1 · 29 · 58 · 313 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20138,-1334108] |
[a1,a2,a3,a4,a6] |
j |
-2312139509185/625372672 |
j-invariant |
L |
1.7783914464187 |
L(r)(E,1)/r! |
Ω |
0.19759904974039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63550f1 |
Quadratic twists by: 5 |