Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bt |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-5011875000000000 = -1 · 29 · 36 · 513 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732675,241411750] |
[a1,a2,a3,a4,a6] |
Generators |
[345:5450:1] |
Generators of the group modulo torsion |
j |
-7458308028872/859375 |
j-invariant |
L |
5.8548787232173 |
L(r)(E,1)/r! |
Ω |
0.41492518703694 |
Real period |
R |
3.5276713174279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200bb1 8800o1 15840bh1 |
Quadratic twists by: -4 -3 5 |