Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9135j |
Isogeny class |
Conductor |
9135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-3699675 = -1 · 36 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 2 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,18,-88] |
[a1,a2,a3,a4,a6] |
j |
884736/5075 |
j-invariant |
L |
2.4951554174843 |
L(r)(E,1)/r! |
Ω |
1.2475777087421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1015c1 45675d1 63945h1 |
Quadratic twists by: -3 5 -7 |