Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700f |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-18900797580000000 = -1 · 28 · 39 · 57 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199800,-35005500] |
[a1,a2,a3,a4,a6] |
Generators |
[960:-25650:1] |
Generators of the group modulo torsion |
j |
-11203633152/240065 |
j-invariant |
L |
4.5379798046572 |
L(r)(E,1)/r! |
Ω |
0.11276381534805 |
Real period |
R |
0.5589337047354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119700e1 23940f2 |
Quadratic twists by: -3 5 |