Atkin-Lehner |
2- 3- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40260i |
Isogeny class |
Conductor |
40260 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
195360 |
Modular degree for the optimal curve |
Δ |
-95092509600000 = -1 · 28 · 311 · 55 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11- 2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8524,361140] |
[a1,a2,a3,a4,a6] |
j |
267524227910576/371455115625 |
j-invariant |
L |
4.4657027540358 |
L(r)(E,1)/r! |
Ω |
0.40597297764919 |
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 |
120780t1 |
Quadratic twists by: -3 |