Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44436n |
Isogeny class |
Conductor |
44436 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
596160 |
Modular degree for the optimal curve |
Δ |
172636253808023376 = 24 · 39 · 7 · 238 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178449,-21089016] |
[a1,a2,a3,a4,a6] |
Generators |
[615:10107:1] |
Generators of the group modulo torsion |
j |
501563392/137781 |
j-invariant |
L |
9.7455205099759 |
L(r)(E,1)/r! |
Ω |
0.2370852087557 |
Real period |
R |
4.5672845552077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44436l1 |
Quadratic twists by: -23 |