Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720j |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-37770196838400 = -1 · 211 · 310 · 52 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12000,-582048] |
[a1,a2,a3,a4,a6] |
Generators |
[284:4340:1] |
Generators of the group modulo torsion |
j |
-93319776216002/18442478925 |
j-invariant |
L |
3.8270833707517 |
L(r)(E,1)/r! |
Ω |
0.2256661235224 |
Real period |
R |
2.119881416536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48360y2 |
Quadratic twists by: -4 |