Atkin-Lehner |
3+ 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453f |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9572342535045801 = 32 · 78 · 174 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101382,11456346] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:31003:8] |
Generators of the group modulo torsion |
j |
979531266457297/81363569049 |
j-invariant |
L |
2.9952143821575 |
L(r)(E,1)/r! |
Ω |
0.39941540198275 |
Real period |
R |
3.7494977538497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000025702 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16779m2 |
Quadratic twists by: -7 |