Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018h |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-3628667137568 = -1 · 25 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 1 -2 2 11- -6 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4117,-137216] |
[a1,a2,a3,a4,a6] |
Generators |
[1022:32098:1] |
Generators of the group modulo torsion |
j |
-8231953/3872 |
j-invariant |
L |
3.9289967232099 |
L(r)(E,1)/r! |
Ω |
0.29143991486319 |
Real period |
R |
3.3703317009148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638p1 128018g1 |
Quadratic twists by: -11 -23 |