Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960bz |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1341912996795168000 = -1 · 28 · 318 · 53 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275700,-78717348] |
[a1,a2,a3,a4,a6] |
j |
-9053064620747380816/5241847643731125 |
j-invariant |
L |
0.60880698447143 |
L(r)(E,1)/r! |
Ω |
0.10146783234219 |
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 |
19740w2 |
Quadratic twists by: -4 |