Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024c |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-18099648 = -1 · 26 · 32 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[269:4422:1] |
Generators of the group modulo torsion |
j |
405224000/282807 |
j-invariant |
L |
7.2881018868377 |
L(r)(E,1)/r! |
Ω |
1.2320494064968 |
Real period |
R |
2.9577149456922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024i1 90048a2 |
Quadratic twists by: -4 8 |