Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128271k |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-3857716076643 = -1 · 35 · 11 · 137 · 23 |
Discriminant |
Eigenvalues |
0 3+ -2 2 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4619,-151864] |
[a1,a2,a3,a4,a6] |
Generators |
[3114:60329:8] |
Generators of the group modulo torsion |
j |
-2258403328/799227 |
j-invariant |
L |
4.8293859852822 |
L(r)(E,1)/r! |
Ω |
0.28449038273967 |
Real period |
R |
4.2438920735609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9867b1 |
Quadratic twists by: 13 |