Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bj |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3130836342947302500 = 22 · 32 · 54 · 78 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34694456,-78671565547] |
[a1,a2,a3,a4,a6] |
Generators |
[8153:420763:1] |
Generators of the group modulo torsion |
j |
191342053882402567201/129708022500 |
j-invariant |
L |
8.9658964808656 |
L(r)(E,1)/r! |
Ω |
0.062206325957623 |
Real period |
R |
9.0082241867334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210e5 |
Quadratic twists by: 17 |