Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4851q |
Isogeny class |
Conductor |
4851 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-24019415051247 = -1 · 314 · 73 · 114 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6070,-151392] |
[a1,a2,a3,a4,a6] |
j |
98931640625/96059601 |
j-invariant |
L |
1.469674964329 |
L(r)(E,1)/r! |
Ω |
0.36741874108224 |
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 |
77616ew1 1617d1 121275ej1 4851s1 |
Quadratic twists by: -4 -3 5 -7 |