Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350fe |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
671269032000000000 = 212 · 310 · 59 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2673680,-1681591053] |
[a1,a2,a3,a4,a6] |
Generators |
[-955:801:1] |
Generators of the group modulo torsion |
j |
1484548104174533/471453696 |
j-invariant |
L |
10.425701590996 |
L(r)(E,1)/r! |
Ω |
0.11806753261606 |
Real period |
R |
1.8396430573853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450n1 91350ct1 |
Quadratic twists by: -3 5 |