Atkin-Lehner |
3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675o |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1589998412109375 = 33 · 59 · 174 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-719742,-234836959] |
[a1,a2,a3,a4,a6] |
Generators |
[26688:103531:27] |
Generators of the group modulo torsion |
j |
781917237652383/30151081 |
j-invariant |
L |
6.4995080665309 |
L(r)(E,1)/r! |
Ω |
0.16391032810203 |
Real period |
R |
4.9566035155276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675k2 72675j2 |
Quadratic twists by: -3 5 |