Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545g |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
62415481905 = 39 · 5 · 73 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16053368,-24752948254] |
[a1,a2,a3,a4,a6] |
Generators |
[26977896:3745633226:1331] |
Generators of the group modulo torsion |
j |
627616918987717566874681/85617945 |
j-invariant |
L |
2.8113762590303 |
L(r)(E,1)/r! |
Ω |
0.075423731784935 |
Real period |
R |
12.424808445555 |
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 |
4515h1 67725p1 94815bf1 |
Quadratic twists by: -3 5 -7 |