Atkin-Lehner |
3- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835m |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-356353333875 = -1 · 311 · 53 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1893,-42777] |
[a1,a2,a3,a4,a6] |
Generators |
[3428:6205:64] |
Generators of the group modulo torsion |
j |
-1029077364736/488824875 |
j-invariant |
L |
9.8798311191684 |
L(r)(E,1)/r! |
Ω |
0.35384782589958 |
Real period |
R |
3.4901412401514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945ba1 |
Quadratic twists by: -3 |