Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bp |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-25540186112 = -1 · 212 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -3 0 7- 0 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245,7546] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-98:1] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
3.0353917530195 |
L(r)(E,1)/r! |
Ω |
0.88588088934796 |
Real period |
R |
0.85660267354097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2597d1 848e1 |
Quadratic twists by: -4 -7 |