Atkin-Lehner |
2- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568ba |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1981440 |
Modular degree for the optimal curve |
Δ |
2880965601869824 = 214 · 7 · 174 · 673 |
Discriminant |
Eigenvalues |
2- -3 1 7- 2 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1265347,547845058] |
[a1,a2,a3,a4,a6] |
Generators |
[849:9248:1] |
Generators of the group modulo torsion |
j |
54700674737911296921/703360742644 |
j-invariant |
L |
4.9042768624843 |
L(r)(E,1)/r! |
Ω |
0.41162799973401 |
Real period |
R |
1.4892927827522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15946a1 |
Quadratic twists by: -4 |