Atkin-Lehner |
2+ 3+ 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030g |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1121071762254600 = 23 · 39 · 52 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1697964,-851184280] |
[a1,a2,a3,a4,a6] |
j |
27505402082451142227/56956346200 |
j-invariant |
L |
3.1741593088953 |
L(r)(E,1)/r! |
Ω |
0.13225663753879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030ba2 |
Quadratic twists by: -3 |