Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15504v |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2072870565206556672 = -1 · 223 · 38 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9064,-69266028] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:34560:1] |
Generators of the group modulo torsion |
j |
20103678928871/506071915333632 |
j-invariant |
L |
7.1689436193905 |
L(r)(E,1)/r! |
Ω |
0.12050176817523 |
Real period |
R |
1.8591385960427 |
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 |
1938d2 62016cf2 46512bh2 |
Quadratic twists by: -4 8 -3 |