Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bv |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
384061580676228 = 22 · 3 · 79 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17002217,-26991091597] |
[a1,a2,a3,a4,a6] |
Generators |
[2867548396178112:-136121856558479975:487815118848] |
Generators of the group modulo torsion |
j |
13469702941737718759/9517404 |
j-invariant |
L |
10.607646298256 |
L(r)(E,1)/r! |
Ω |
0.074348663476619 |
Real period |
R |
23.77905623267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618cc1 |
Quadratic twists by: -7 |