Atkin-Lehner |
2- 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780n |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
79431961925250000 = 24 · 316 · 56 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113268,-5605067] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:2750:1] [371:1854:1] |
Generators of the group modulo torsion |
j |
13778371731767296/6810010453125 |
j-invariant |
L |
9.645815534483 |
L(r)(E,1)/r! |
Ω |
0.27376383957448 |
Real period |
R |
8.8085186395234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40260n1 |
Quadratic twists by: -3 |