Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960s |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-20466432000 = -1 · 211 · 35 · 53 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2576,-51660] |
[a1,a2,a3,a4,a6] |
j |
-923421362978/9993375 |
j-invariant |
L |
3.3484125315036 |
L(r)(E,1)/r! |
Ω |
0.33484125333444 |
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 |
39480l1 |
Quadratic twists by: -4 |