Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bw |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-6719622426562500 = -1 · 22 · 39 · 58 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-283617,-58198959] |
[a1,a2,a3,a4,a6] |
Generators |
[744:11553:1] |
Generators of the group modulo torsion |
j |
-8860001331505/23597028 |
j-invariant |
L |
4.1783930516635 |
L(r)(E,1)/r! |
Ω |
0.10342300191493 |
Real period |
R |
3.3667502830543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650cw1 40950en1 |
Quadratic twists by: -3 5 |