Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380w |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1393097353074000 = 24 · 310 · 53 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68181,-6635700] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:459:1] |
Generators of the group modulo torsion |
j |
445916389572608/17722081125 |
j-invariant |
L |
7.0546469030068 |
L(r)(E,1)/r! |
Ω |
0.29617328248666 |
Real period |
R |
0.79397741082235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121380r1 |
Quadratic twists by: 17 |