Atkin-Lehner |
2+ 3- 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370s |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
784809433350 = 2 · 39 · 52 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3429,65335] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:242:1] [-49:362:1] |
Generators of the group modulo torsion |
j |
6117442271569/1076556150 |
j-invariant |
L |
7.8364913680934 |
L(r)(E,1)/r! |
Ω |
0.8538131398545 |
Real period |
R |
1.1472784562611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790p2 |
Quadratic twists by: -3 |