Atkin-Lehner |
2+ 3- 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934m |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
-125323848 = -1 · 23 · 37 · 13 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 2 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2403,45949] |
[a1,a2,a3,a4,a6] |
Generators |
[5:182:1] [29:-10:1] |
Generators of the group modulo torsion |
j |
-2105518942513/171912 |
j-invariant |
L |
7.7373644870805 |
L(r)(E,1)/r! |
Ω |
1.7711889890197 |
Real period |
R |
1.0921144678173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978j1 |
Quadratic twists by: -3 |