Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fo |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
954322180766760960 = 216 · 38 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392800,-82146560] |
[a1,a2,a3,a4,a6] |
Generators |
[-128056:319059:512] |
Generators of the group modulo torsion |
j |
13908844989649/1980372240 |
j-invariant |
L |
6.2249959370412 |
L(r)(E,1)/r! |
Ω |
0.19251088940969 |
Real period |
R |
8.083952878555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000164907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cf1 18480ct1 |
Quadratic twists by: -4 -7 |