Atkin-Lehner |
3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635v |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
363969066615 = 3 · 5 · 74 · 112 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9975,-383190] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:62:1] |
Generators of the group modulo torsion |
j |
109765319621756401/363969066615 |
j-invariant |
L |
4.1806987192311 |
L(r)(E,1)/r! |
Ω |
0.47781269899895 |
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 |
58905r4 98175i4 |
Quadratic twists by: -3 5 |