Atkin-Lehner |
2+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84280f |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-164269784665548800 = -1 · 211 · 52 · 79 · 433 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -5 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-344323,80174878] |
[a1,a2,a3,a4,a6] |
j |
-18737153748882/681772525 |
j-invariant |
L |
1.2830431213806 |
L(r)(E,1)/r! |
Ω |
0.320760796407 |
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 |
12040c1 |
Quadratic twists by: -7 |