Atkin-Lehner |
3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865n |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
451037597879925 = 310 · 52 · 78 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -3 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31320,-1865025] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:545:1] |
Generators of the group modulo torsion |
j |
808509121/107325 |
j-invariant |
L |
6.5476911602554 |
L(r)(E,1)/r! |
Ω |
0.36202322904918 |
Real period |
R |
1.5071986796402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38955n1 116865bg1 |
Quadratic twists by: -3 -7 |