Atkin-Lehner |
2- 3- 41- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53874i |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
206110718208 = 28 · 38 · 412 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 4 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5918,-172371] |
[a1,a2,a3,a4,a6] |
j |
31437808611481/282730752 |
j-invariant |
L |
8.7139932930853 |
L(r)(E,1)/r! |
Ω |
0.54462458098874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17958b1 |
Quadratic twists by: -3 |