Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730c |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-74367954467472960 = -1 · 26 · 314 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4288,-13122752] |
[a1,a2,a3,a4,a6] |
j |
-74140932601/632117183040 |
j-invariant |
L |
1.2551165430887 |
L(r)(E,1)/r! |
Ω |
0.15688958256047 |
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 |
12390l1 |
Quadratic twists by: -7 |