Atkin-Lehner |
2+ 3- 5+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210j |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-539641491840000 = -1 · 210 · 36 · 54 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-290385,60312541] |
[a1,a2,a3,a4,a6] |
j |
-3714664212068409361/740248960000 |
j-invariant |
L |
2.0200431712076 |
L(r)(E,1)/r! |
Ω |
0.50501079188528 |
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 |
8690j1 |
Quadratic twists by: -3 |