Atkin-Lehner |
2- 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93060g |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
1943354531250000 = 24 · 37 · 510 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103548,-12648503] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:77:1] |
Generators of the group modulo torsion |
j |
10526920576024576/166611328125 |
j-invariant |
L |
5.2272149845616 |
L(r)(E,1)/r! |
Ω |
0.26639786517102 |
Real period |
R |
3.2703058529201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020n1 |
Quadratic twists by: -3 |