Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bs |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
753644158470 = 2 · 310 · 5 · 73 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2535,24807] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:2307:8] |
Generators of the group modulo torsion |
j |
5252598320887/2197213290 |
j-invariant |
L |
9.13284884651 |
L(r)(E,1)/r! |
Ω |
0.81323783596088 |
Real period |
R |
5.6151155500842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670cc2 |
Quadratic twists by: -7 |