Atkin-Lehner |
2+ 3+ 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79254a |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-10560558726144 = -1 · 210 · 39 · 72 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34251,-2436283] |
[a1,a2,a3,a4,a6] |
j |
-225766405927971/536531968 |
j-invariant |
L |
2.8071058698387 |
L(r)(E,1)/r! |
Ω |
0.17544412015494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254t1 |
Quadratic twists by: -3 |