Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080m |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90048 |
Modular degree for the optimal curve |
Δ |
-33264285322240 = -1 · 210 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,277360] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3464:1] |
Generators of the group modulo torsion |
j |
-196/115 |
j-invariant |
L |
4.8456483739885 |
L(r)(E,1)/r! |
Ω |
0.5308932526206 |
Real period |
R |
4.563674853718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160bj1 45080a1 |
Quadratic twists by: -4 -7 |