Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275gk |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
1880589714880078125 = 312 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-477750,108634531] |
[a1,a2,a3,a4,a6] |
Generators |
[175:5512:1] |
Generators of the group modulo torsion |
j |
359956480/56133 |
j-invariant |
L |
4.2083042216275 |
L(r)(E,1)/r! |
Ω |
0.25222534028467 |
Real period |
R |
0.69519583932169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425bf1 121275ea1 17325bu1 |
Quadratic twists by: -3 5 -7 |