Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6435b |
Isogeny class |
Conductor |
6435 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-179439975 = -1 · 33 · 52 · 112 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82,556] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
2284322013/6645925 |
j-invariant |
L |
2.3797040037465 |
L(r)(E,1)/r! |
Ω |
1.2680234562658 |
Real period |
R |
0.31278390947574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960by1 6435c1 32175d1 70785b1 |
Quadratic twists by: -4 -3 5 -11 |