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 |
2617123604226969600 = 212 · 32 · 52 · 76 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6344278,-6152807468] |
[a1,a2,a3,a4,a6] |
Generators |
[-25539306:568651:17576] |
Generators of the group modulo torsion |
j |
1169975873419524361/108425318400 |
j-invariant |
L |
3.5773275501387 |
L(r)(E,1)/r! |
Ω |
0.095127571421888 |
Real period |
R |
9.4013951395567 |
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 |
210b6 |
Quadratic twists by: 17 |