Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600o |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1417781250000 = 24 · 32 · 59 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8783,-308688] |
[a1,a2,a3,a4,a6] |
j |
299751798784/5671125 |
j-invariant |
L |
1.9748936484038 |
L(r)(E,1)/r! |
Ω |
0.49372341210212 |
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 |
85200bb1 127800r1 8520h1 |
Quadratic twists by: -4 -3 5 |