Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312w |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
92793200902668288 = 221 · 314 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-459456,118818612] |
[a1,a2,a3,a4,a6] |
j |
2618764779527817409/22654590064128 |
j-invariant |
L |
4.7631104326479 |
L(r)(E,1)/r! |
Ω |
0.34022217376056 |
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 |
1914i2 61248bs2 45936bq2 |
Quadratic twists by: -4 8 -3 |