Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ky |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-2293200000000 = -1 · 210 · 32 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2388,85392] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:324:1] |
Generators of the group modulo torsion |
j |
-78683185/119808 |
j-invariant |
L |
14.788877112095 |
L(r)(E,1)/r! |
Ω |
0.73603052415524 |
Real period |
R |
0.33487916204887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550bw1 95550hs1 |
Quadratic twists by: 5 -7 |