Atkin-Lehner |
2+ 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
125208d |
Isogeny class |
Conductor |
125208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-11983944143884032 = -1 · 28 · 312 · 374 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443415,113770474] |
[a1,a2,a3,a4,a6] |
Generators |
[119525:429624:343] |
Generators of the group modulo torsion |
j |
-51663920570962000/64214378343 |
j-invariant |
L |
9.229432976768 |
L(r)(E,1)/r! |
Ω |
0.4003968496598 |
Real period |
R |
5.7626782422947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000013164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41736e1 |
Quadratic twists by: -3 |