Atkin-Lehner |
2+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080q |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.0985798883082E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5524972,4995996336] |
[a1,a2,a3,a4,a6] |
Generators |
[-1643:98175:1] |
Generators of the group modulo torsion |
j |
71149857462630609489/41907496960000 |
j-invariant |
L |
6.0945683603099 |
L(r)(E,1)/r! |
Ω |
0.22481991465074 |
Real period |
R |
3.3885834634453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38080br2 1190d2 |
Quadratic twists by: -4 8 |