Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9135h |
Isogeny class |
Conductor |
9135 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-1.0203395942134E+21 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 1 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1783227,-1789404498] |
[a1,a2,a3,a4,a6] |
Generators |
[3747:210087:1] |
Generators of the group modulo torsion |
j |
-860232957686415069184/1399642790416171875 |
j-invariant |
L |
2.214966480182 |
L(r)(E,1)/r! |
Ω |
0.061839502616255 |
Real period |
R |
1.2792138095237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3045h1 45675w1 63945p1 |
Quadratic twists by: -3 5 -7 |