Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430h |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
39437740460902500 = 22 · 34 · 54 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88287,-3301839] |
[a1,a2,a3,a4,a6] |
j |
16022066761/8302500 |
j-invariant |
L |
2.3445551855004 |
L(r)(E,1)/r! |
Ω |
0.29306939809601 |
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 |
1230d1 |
Quadratic twists by: 41 |