Atkin-Lehner |
3+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7293a |
Isogeny class |
Conductor |
7293 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-528749793 = -1 · 32 · 112 · 134 · 17 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 11+ 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-1118] |
[a1,a2,a3,a4,a6] |
Generators |
[14:32:1] |
Generators of the group modulo torsion |
j |
-1838265625/528749793 |
j-invariant |
L |
3.4096893532789 |
L(r)(E,1)/r! |
Ω |
0.73670186429725 |
Real period |
R |
1.1570791111447 |
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 |
116688bf2 21879k2 80223d2 94809k2 |
Quadratic twists by: -4 -3 -11 13 |