Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bk |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1070313750000 = -1 · 24 · 34 · 57 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1287,47031] |
[a1,a2,a3,a4,a6] |
j |
15087533111/68500080 |
j-invariant |
L |
5.0058321234786 |
L(r)(E,1)/r! |
Ω |
0.62572901551036 |
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 |
10230m1 |
Quadratic twists by: 5 |