Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686k |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
2480452892915088 = 24 · 3 · 77 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58139,4810317] |
[a1,a2,a3,a4,a6] |
j |
38272753/4368 |
j-invariant |
L |
0.88599243970178 |
L(r)(E,1)/r! |
Ω |
0.44299621986398 |
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 |
7098k1 3822x1 |
Quadratic twists by: -7 13 |