Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720bf |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-5293034559820800000 = -1 · 213 · 35 · 55 · 134 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2577656,1597590000] |
[a1,a2,a3,a4,a6] |
Generators |
[1636:41912:1] |
Generators of the group modulo torsion |
j |
-462422340525417209209/1292244765581250 |
j-invariant |
L |
4.6201819619777 |
L(r)(E,1)/r! |
Ω |
0.24249838992469 |
Real period |
R |
0.79385096651371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090i1 |
Quadratic twists by: -4 |