Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bo |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-31095244071061632 = -1 · 27 · 310 · 76 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12937,-8508361] |
[a1,a2,a3,a4,a6] |
j |
-2035346265217/264305213568 |
j-invariant |
L |
4.6097012142563 |
L(r)(E,1)/r! |
Ω |
0.16463218626758 |
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 |
1122i2 |
Quadratic twists by: -7 |