Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025m |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-14183572260375 = -1 · 39 · 53 · 78 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4548,136331] |
[a1,a2,a3,a4,a6] |
Generators |
[6542:184379:8] |
Generators of the group modulo torsion |
j |
35937/49 |
j-invariant |
L |
5.4038574300215 |
L(r)(E,1)/r! |
Ω |
0.4751425466021 |
Real period |
R |
5.6865644517275 |
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 |
11025o1 11025p1 1575c1 |
Quadratic twists by: -3 5 -7 |