Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960h |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1281859292160 = -1 · 210 · 35 · 5 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 1 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6221,-194499] |
[a1,a2,a3,a4,a6] |
j |
-26006036555776/1251815715 |
j-invariant |
L |
1.6081708560273 |
L(r)(E,1)/r! |
Ω |
0.26802848266285 |
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 |
96960dl1 12120p1 |
Quadratic twists by: -4 8 |