Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bd |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-52984856665128960 = -1 · 227 · 33 · 5 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9982,11065601] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:415:1] |
Generators of the group modulo torsion |
j |
4074304020054813/1962402098708480 |
j-invariant |
L |
6.4683311961218 |
L(r)(E,1)/r! |
Ω |
0.2759540488747 |
Real period |
R |
1.3022158384096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102960cg1 12870i2 64350a1 |
Quadratic twists by: -4 -3 5 |