Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925m |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
1255078125 = 33 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 3 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1708,27693] |
[a1,a2,a3,a4,a6] |
Generators |
[186:21:8] |
Generators of the group modulo torsion |
j |
1411502080/3213 |
j-invariant |
L |
7.6315378310118 |
L(r)(E,1)/r! |
Ω |
1.5356326524729 |
Real period |
R |
1.656545880015 |
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 |
26775bx1 8925v1 62475cx1 |
Quadratic twists by: -3 5 -7 |