Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690a |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
215554525562250000 = 24 · 36 · 56 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-166903,13708357] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:4357:1] |
Generators of the group modulo torsion |
j |
21302308926361/8930250000 |
j-invariant |
L |
3.5773275501387 |
L(r)(E,1)/r! |
Ω |
0.28538271426567 |
Real period |
R |
3.1337983798522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992296 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210b2 |
Quadratic twists by: 17 |