Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48675o |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-1309561965421875 = -1 · 317 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 11+ -7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,27192,-220831] |
[a1,a2,a3,a4,a6] |
Generators |
[474:10121:8] |
Generators of the group modulo torsion |
j |
142302054182912/83811965787 |
j-invariant |
L |
16.291302831905 |
L(r)(E,1)/r! |
Ω |
0.2833725876271 |
Real period |
R |
1.6909044366543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1947b1 |
Quadratic twists by: 5 |