Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635n |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
385533225 = 32 · 52 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6545,-206530] |
[a1,a2,a3,a4,a6] |
j |
31006790289755281/385533225 |
j-invariant |
L |
1.0615785043512 |
L(r)(E,1)/r! |
Ω |
0.53078925217562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58905z2 98175w2 |
Quadratic twists by: -3 5 |