Atkin-Lehner |
2+ 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150b |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
6138000000000 = 210 · 32 · 59 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21400,-1208000] |
[a1,a2,a3,a4,a6] |
j |
69370801987969/392832000 |
j-invariant |
L |
0.78971712453639 |
L(r)(E,1)/r! |
Ω |
0.39485856212695 |
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 |
10230ba1 |
Quadratic twists by: 5 |