Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dq |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
8592480 |
Modular degree for the optimal curve |
Δ |
3886004478349375200 = 25 · 327 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28605806,-58890657472] |
[a1,a2,a3,a4,a6] |
Generators |
[-3085410:1660303:1000] |
Generators of the group modulo torsion |
j |
2113246549802419900514065/3172248553754592 |
j-invariant |
L |
5.5146663431303 |
L(r)(E,1)/r! |
Ω |
0.065280887244716 |
Real period |
R |
3.1287396711628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ig1 95550g1 |
Quadratic twists by: 5 -7 |