Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925a |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1958674921875 = -1 · 36 · 57 · 7 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -6 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3533,-104032] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1687:1] |
Generators of the group modulo torsion |
j |
-312217698304/125355195 |
j-invariant |
L |
2.4030444393515 |
L(r)(E,1)/r! |
Ω |
0.30360852140078 |
Real period |
R |
1.9787359955054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775bd1 1785l1 62475ca1 |
Quadratic twists by: -3 5 -7 |