Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850m |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-1548441120749531250 = -1 · 2 · 3 · 57 · 115 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-271750,-81091250] |
[a1,a2,a3,a4,a6] |
j |
-142041366409834081/99100231727970 |
j-invariant |
L |
2.0284274218702 |
L(r)(E,1)/r! |
Ω |
0.10142137110016 |
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 |
9570bd2 |
Quadratic twists by: 5 |