Atkin-Lehner |
3- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835bi |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
402139337985 = 310 · 5 · 73 · 11 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3024,-55517] |
[a1,a2,a3,a4,a6] |
j |
4195872914689/551631465 |
j-invariant |
L |
3.8962922957578 |
L(r)(E,1)/r! |
Ω |
0.64938204869041 |
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 |
21945e1 |
Quadratic twists by: -3 |