Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280c |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20211840000 = -1 · 210 · 32 · 54 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,344,-6500] |
[a1,a2,a3,a4,a6] |
j |
4383651164/19738125 |
j-invariant |
L |
2.4546853877536 |
L(r)(E,1)/r! |
Ω |
0.61367134692406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560i2 114840bg2 |
Quadratic twists by: -4 -3 |