Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ft |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2007040 |
Modular degree for the optimal curve |
Δ |
5688203458587890625 = 38 · 59 · 79 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-667242,-175453209] |
[a1,a2,a3,a4,a6] |
Generators |
[-4506:39297:8] [990:11061:1] |
Generators of the group modulo torsion |
j |
571787/99 |
j-invariant |
L |
13.444442010817 |
L(r)(E,1)/r! |
Ω |
0.16901943440911 |
Real period |
R |
19.885941007217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425df1 121275fx1 121275fr1 |
Quadratic twists by: -3 5 -7 |