Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275bz |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
160463197125 = 39 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11+ 1 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40635,3152756] |
[a1,a2,a3,a4,a6] |
Generators |
[120:67:1] |
Generators of the group modulo torsion |
j |
61549867008/1331 |
j-invariant |
L |
3.1944524391348 |
L(r)(E,1)/r! |
Ω |
0.94455100768929 |
Real period |
R |
0.84549496822049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998191215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ce1 121275bw1 121275bn1 |
Quadratic twists by: -3 5 -7 |