Atkin-Lehner |
2- 3- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65412d |
Isogeny class |
Conductor |
65412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14752800 |
Modular degree for the optimal curve |
Δ |
2182536930150144 = 28 · 36 · 236 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -4 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3540805887,81096346959158] |
[a1,a2,a3,a4,a6] |
j |
26306469960480560181955555024/11694835231 |
j-invariant |
L |
0.78976179132446 |
L(r)(E,1)/r! |
Ω |
0.13162696455556 |
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 |
7268b1 |
Quadratic twists by: -3 |