Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720z |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
-406131148800 = -1 · 211 · 39 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,240,30708] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-180:1] |
Generators of the group modulo torsion |
j |
743389918/198306225 |
j-invariant |
L |
10.219997527349 |
L(r)(E,1)/r! |
Ω |
0.73305651883803 |
Real period |
R |
0.19363365098719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48360t1 |
Quadratic twists by: -4 |