Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550kk |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
10117225755000 = 23 · 33 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5538,41292] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:54:1] |
Generators of the group modulo torsion |
j |
5213425/2808 |
j-invariant |
L |
13.985482325329 |
L(r)(E,1)/r! |
Ω |
0.63258666841571 |
Real period |
R |
2.4564894546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003272 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95550a1 95550hw1 |
Quadratic twists by: 5 -7 |