Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722be |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
34231451230036476 = 22 · 39 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 5 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2110673,-1179703547] |
[a1,a2,a3,a4,a6] |
Generators |
[267542:48745081:8] |
Generators of the group modulo torsion |
j |
10945484159427/360308 |
j-invariant |
L |
11.40736515677 |
L(r)(E,1)/r! |
Ω |
0.12525503420357 |
Real period |
R |
5.6920692439727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999222293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722c1 9594b1 |
Quadratic twists by: -3 13 |