Atkin-Lehner |
3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3135g |
Isogeny class |
Conductor |
3135 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
47026984455 = 38 · 5 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-903,151] |
[a1,a2,a3,a4,a6] |
j |
81300912365161/47026984455 |
j-invariant |
L |
3.8381648367394 |
L(r)(E,1)/r! |
Ω |
0.95954120918486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160bm3 9405f4 15675h3 34485r3 |
Quadratic twists by: -4 -3 5 -11 |