Atkin-Lehner |
2+ 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978d |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
213187969639459584 = 28 · 35 · 78 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6922647,-7013469483] |
[a1,a2,a3,a4,a6] |
j |
6364379231465315641/36980976384 |
j-invariant |
L |
1.1168964161643 |
L(r)(E,1)/r! |
Ω |
0.093074701329209 |
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 |
54978be1 |
Quadratic twists by: -7 |