Atkin-Lehner |
2- 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116560l |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-3640163951104000 = -1 · 212 · 53 · 31 · 475 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 -4 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84976,-9994860] |
[a1,a2,a3,a4,a6] |
Generators |
[340:730:1] [396:4314:1] |
Generators of the group modulo torsion |
j |
-16567528531007089/888711902125 |
j-invariant |
L |
8.0867875502749 |
L(r)(E,1)/r! |
Ω |
0.13937743218778 |
Real period |
R |
29.01039077283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7285d1 |
Quadratic twists by: -4 |