Atkin-Lehner |
2- 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
120780g |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
656451378000 = 24 · 36 · 53 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2388,22313] |
[a1,a2,a3,a4,a6] |
Generators |
[8:61:1] |
Generators of the group modulo torsion |
j |
129115734016/56280125 |
j-invariant |
L |
6.5391361538157 |
L(r)(E,1)/r! |
Ω |
0.81926068351776 |
Real period |
R |
1.3302921174465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13420i1 |
Quadratic twists by: -3 |