Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345be |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
238139279490538125 = 33 · 54 · 7 · 1710 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-334813,70747031] |
[a1,a2,a3,a4,a6] |
Generators |
[585:8377:1] |
Generators of the group modulo torsion |
j |
171963096231529/9865918125 |
j-invariant |
L |
8.6433383236323 |
L(r)(E,1)/r! |
Ω |
0.30818398985839 |
Real period |
R |
2.3371694096341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035n3 1785b4 |
Quadratic twists by: -3 17 |