Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275br |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
64980964125 = 39 · 53 · 74 · 11 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 11- -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6615,-206719] |
[a1,a2,a3,a4,a6] |
Generators |
[-2940:913:64] |
Generators of the group modulo torsion |
j |
5419008/11 |
j-invariant |
L |
13.192689093785 |
L(r)(E,1)/r! |
Ω |
0.52944402917075 |
Real period |
R |
2.0765004251344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275bo1 121275bt1 121275cf1 |
Quadratic twists by: -3 5 -7 |