Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504cv |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-416207950000128 = -1 · 212 · 35 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11- 13- 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16133,1253811] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:1287:1] |
Generators of the group modulo torsion |
j |
-7744000000/6940323 |
j-invariant |
L |
9.6989804518113 |
L(r)(E,1)/r! |
Ω |
0.48553272621206 |
Real period |
R |
0.33293260264172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719h1 75504cj1 |
Quadratic twists by: -4 -11 |