Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dv |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-46505765440512 = -1 · 210 · 39 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54648,-4928040] |
[a1,a2,a3,a4,a6] |
Generators |
[288213949845:384690793725:1064332261] |
Generators of the group modulo torsion |
j |
-895478740992/2307361 |
j-invariant |
L |
10.158613182734 |
L(r)(E,1)/r! |
Ω |
0.15610217633971 |
Real period |
R |
16.269172806652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992s1 31248d1 124992dw1 |
Quadratic twists by: -4 8 -3 |