Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bm |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101477376 |
Modular degree for the optimal curve |
Δ |
-2.6335899568512E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1518679683,-9524771305659] |
[a1,a2,a3,a4,a6] |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
1.9004575272924 |
L(r)(E,1)/r! |
Ω |
0.017596828998562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cx1 15210bi1 76050er1 |
Quadratic twists by: -3 5 13 |