Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960ca |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-7131414528000 = -1 · 217 · 33 · 53 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4360,63600] |
[a1,a2,a3,a4,a6] |
j |
2237296892039/1741068000 |
j-invariant |
L |
2.8723423778617 |
L(r)(E,1)/r! |
Ω |
0.47872372074354 |
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 |
9870j1 |
Quadratic twists by: -4 |