Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320l |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-339292979200 = -1 · 220 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,-36799] |
[a1,a2,a3,a4,a6] |
Generators |
[5251:380460:1] |
Generators of the group modulo torsion |
j |
-1732323601/1294300 |
j-invariant |
L |
10.339888881289 |
L(r)(E,1)/r! |
Ω |
0.36547134283829 |
Real period |
R |
7.0729819720779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96320bi1 3010i1 |
Quadratic twists by: -4 8 |