Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275di |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-2387055825 = -1 · 311 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-860,-9768] |
[a1,a2,a3,a4,a6] |
Generators |
[48:216:1] |
Generators of the group modulo torsion |
j |
-78683185/2673 |
j-invariant |
L |
3.6701901542197 |
L(r)(E,1)/r! |
Ω |
0.43996449088094 |
Real period |
R |
4.1710071858672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425x1 121275fq1 121275cm1 |
Quadratic twists by: -3 5 -7 |