Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450cm |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
6870469248000000000 = 216 · 312 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1629680,791172947] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:30415:1] |
Generators of the group modulo torsion |
j |
336180796842437/4825350144 |
j-invariant |
L |
9.9682120747399 |
L(r)(E,1)/r! |
Ω |
0.23712958902779 |
Real period |
R |
1.3136556623436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150p1 45450bi1 |
Quadratic twists by: -3 5 |