Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bo |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5693870888496 = -1 · 24 · 32 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123937,16835596] |
[a1,a2,a3,a4,a6] |
j |
-2282579181568/61731 |
j-invariant |
L |
1.4113713874905 |
L(r)(E,1)/r! |
Ω |
0.70568569376647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11172o2 44688ds2 |
Quadratic twists by: -4 -7 |