Atkin-Lehner |
2+ 3+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370f |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
607244953359375000 = 23 · 33 · 510 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-212244,-3233000] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:2252:1] |
Generators of the group modulo torsion |
j |
39162225568451207643/22490553828125000 |
j-invariant |
L |
5.522093577352 |
L(r)(E,1)/r! |
Ω |
0.24163063613979 |
Real period |
R |
0.57133624137591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370bd2 |
Quadratic twists by: -3 |