Atkin-Lehner |
2+ 3- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370y |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-8628314238000 = -1 · 24 · 37 · 53 · 19 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1203759,508644765] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:24477:1] |
Generators of the group modulo torsion |
j |
-264615346857043377649/11835822000 |
j-invariant |
L |
5.3003190372774 |
L(r)(E,1)/r! |
Ω |
0.54665879542692 |
Real period |
R |
2.4239612898573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003355 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26790v2 |
Quadratic twists by: -3 |