Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275gl |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-6433771888726875 = -1 · 315 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1060992,420928591] |
[a1,a2,a3,a4,a6] |
Generators |
[158:15959:1] |
Generators of the group modulo torsion |
j |
-5916387959190625/288178803 |
j-invariant |
L |
7.2096822574174 |
L(r)(E,1)/r! |
Ω |
0.39862691074334 |
Real period |
R |
1.1303931753058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425bh1 121275em1 121275fd1 |
Quadratic twists by: -3 5 -7 |