Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bi |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22868947190058750 = -1 · 2 · 322 · 54 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25213,7104449] |
[a1,a2,a3,a4,a6] |
Generators |
[-34659030:660437821:343000] |
Generators of the group modulo torsion |
j |
2431565112569111/31370297928750 |
j-invariant |
L |
9.8057505953781 |
L(r)(E,1)/r! |
Ω |
0.28140890214505 |
Real period |
R |
8.7113009934945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490l4 |
Quadratic twists by: -3 |