Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960cs |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-3141504000 = -1 · 210 · 35 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,-2763] |
[a1,a2,a3,a4,a6] |
j |
-488095744/3067875 |
j-invariant |
L |
3.564469359333 |
L(r)(E,1)/r! |
Ω |
0.59407825384452 |
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 |
96960bp1 24240be1 |
Quadratic twists by: -4 8 |