Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128271m |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-266182409288367 = -1 · 36 · 11 · 137 · 232 |
Discriminant |
Eigenvalues |
1 3+ 2 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34479,2571912] |
[a1,a2,a3,a4,a6] |
Generators |
[918:2565:8] |
Generators of the group modulo torsion |
j |
-939176600257/55146663 |
j-invariant |
L |
9.7466283407679 |
L(r)(E,1)/r! |
Ω |
0.54376302685781 |
Real period |
R |
4.4811010579258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867c1 |
Quadratic twists by: 13 |