Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bd |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-150847488000 = -1 · 217 · 33 · 53 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3196,-72262] |
[a1,a2,a3,a4,a6] |
j |
-28869459898733/1206779904 |
j-invariant |
L |
1.900307486585 |
L(r)(E,1)/r! |
Ω |
0.31671791435697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51150by1 |
Quadratic twists by: 5 |