Atkin-Lehner |
3- 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835o |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
2962700020665 = 310 · 5 · 7 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6930,-204305] |
[a1,a2,a3,a4,a6] |
j |
50492995771681/4064060385 |
j-invariant |
L |
2.1037129600743 |
L(r)(E,1)/r! |
Ω |
0.52592824322516 |
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 |
21945h1 |
Quadratic twists by: -3 |