Atkin-Lehner |
2- 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650br |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1161345937500 = -1 · 22 · 33 · 57 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2562,-12969] |
[a1,a2,a3,a4,a6] |
j |
119022883559/74326140 |
j-invariant |
L |
1.9985768829258 |
L(r)(E,1)/r! |
Ω |
0.4996442209673 |
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 |
11130t1 |
Quadratic twists by: 5 |