Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950g |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19428875156250000 = 24 · 36 · 510 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1327525,-589239875] |
[a1,a2,a3,a4,a6] |
Generators |
[-6124146:2838935:9261] |
Generators of the group modulo torsion |
j |
16558932000702804049/1243448010000 |
j-invariant |
L |
4.6357920267514 |
L(r)(E,1)/r! |
Ω |
0.14065034176277 |
Real period |
R |
8.2399231474962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990817 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390s2 |
Quadratic twists by: 5 |