Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ch |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-394764537036800 = -1 · 227 · 52 · 76 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17232,-400448] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5782:1] |
Generators of the group modulo torsion |
j |
46969655/32768 |
j-invariant |
L |
3.9780104332046 |
L(r)(E,1)/r! |
Ω |
0.30136720918875 |
Real period |
R |
3.2999695321142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450v2 78400hm2 19600dt4 400b2 |
Quadratic twists by: -4 8 5 -7 |