Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ib |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
253715245056000 = 214 · 34 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15828,5781] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:287:1] [-99:833:1] |
Generators of the group modulo torsion |
j |
29819839301/17252352 |
j-invariant |
L |
14.005957885791 |
L(r)(E,1)/r! |
Ω |
0.4685409426643 |
Real period |
R |
0.53379836858474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550fw1 1950bb1 |
Quadratic twists by: 5 -7 |