Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854j |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1894048424012784 = -1 · 24 · 3 · 139 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9460,2064506] |
[a1,a2,a3,a4,a6] |
Generators |
[-1052649:-22825207:19683] |
Generators of the group modulo torsion |
j |
19400056703/392401776 |
j-invariant |
L |
7.8351107045688 |
L(r)(E,1)/r! |
Ω |
0.34989992412392 |
Real period |
R |
11.19621663849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758h1 |
Quadratic twists by: 13 |