Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bj |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-3872791836010944 = -1 · 26 · 36 · 79 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9997,-3022909] |
[a1,a2,a3,a4,a6] |
Generators |
[217:2146:1] |
Generators of the group modulo torsion |
j |
-2738124199/95971392 |
j-invariant |
L |
9.2154248636571 |
L(r)(E,1)/r! |
Ω |
0.19230354598008 |
Real period |
R |
3.9934368763815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54978by1 |
Quadratic twists by: -7 |