Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275bu |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-15920336210625 = -1 · 39 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2067,195866] |
[a1,a2,a3,a4,a6] |
Generators |
[34:388:1] |
Generators of the group modulo torsion |
j |
-675/11 |
j-invariant |
L |
6.3705682751467 |
L(r)(E,1)/r! |
Ω |
0.58874532479591 |
Real period |
R |
1.8034306639005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cd1 121275u1 2475e1 |
Quadratic twists by: -3 5 -7 |