Atkin-Lehner |
3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635v |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
382630602585 = 3 · 5 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9825,372840] |
[a1,a2,a3,a4,a6] |
Generators |
[332:5642:1] |
Generators of the group modulo torsion |
j |
104887600917094801/382630602585 |
j-invariant |
L |
4.1806987192311 |
L(r)(E,1)/r! |
Ω |
0.95562539799791 |
Real period |
R |
2.1874150310309 |
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 |
58905r3 98175i3 |
Quadratic twists by: -3 5 |