Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bg |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
2.9192689348677E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11515973,-14811606984] |
[a1,a2,a3,a4,a6] |
Generators |
[-6712745278601507750435242314924431295413604:-49279506662678428806686018392085070231958431:3354561032245587865016443070421254595008] |
Generators of the group modulo torsion |
j |
5958673237147648000/102990700534293 |
j-invariant |
L |
5.3823003648961 |
L(r)(E,1)/r! |
Ω |
0.082040781254359 |
Real period |
R |
65.605181736161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876i1 6864p1 |
Quadratic twists by: -4 -11 |