Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400o |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
235102500000000 = 28 · 37 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17175,454250] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:700:1] |
Generators of the group modulo torsion |
j |
192143824/80625 |
j-invariant |
L |
7.470070334191 |
L(r)(E,1)/r! |
Ω |
0.50378662364137 |
Real period |
R |
3.706961430367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800w1 15480o1 |
Quadratic twists by: -3 5 |