Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730b |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2445612750 = -1 · 2 · 39 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -7 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3795,90971] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-5:1] |
Generators of the group modulo torsion |
j |
-307136994723/124250 |
j-invariant |
L |
2.534744544732 |
L(r)(E,1)/r! |
Ω |
1.4250579859549 |
Real period |
R |
0.88934786152879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44730bb1 |
Quadratic twists by: -3 |