Atkin-Lehner |
2- 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934bm |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
1625533857792 = 214 · 36 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7367,-233665] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:102:1] |
Generators of the group modulo torsion |
j |
60647503094569/2229813248 |
j-invariant |
L |
5.3869170444482 |
L(r)(E,1)/r! |
Ω |
0.51649088389398 |
Real period |
R |
0.74498853214239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14326c1 |
Quadratic twists by: -3 |