Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800q |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3989088000 = -1 · 28 · 38 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,372,1152] |
[a1,a2,a3,a4,a6] |
Generators |
[17:110:1] |
Generators of the group modulo torsion |
j |
177433072/124659 |
j-invariant |
L |
4.6574935422924 |
L(r)(E,1)/r! |
Ω |
0.88123896179664 |
Real period |
R |
2.6425826275298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400p2 91200iu2 68400cx2 22800bn2 |
Quadratic twists by: -4 8 -3 5 |