Atkin-Lehner |
2+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048j |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
3101422238992 = 24 · 73 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 11- -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27120,1707929] |
[a1,a2,a3,a4,a6] |
Generators |
[100:77:1] [-32:1595:1] |
Generators of the group modulo torsion |
j |
401970959709952/565127959 |
j-invariant |
L |
10.724196468842 |
L(r)(E,1)/r! |
Ω |
0.7978521389193 |
Real period |
R |
0.48004761527968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125048m1 |
Quadratic twists by: -7 |