Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cd |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-2612568784896 = -1 · 218 · 38 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,69680] |
[a1,a2,a3,a4,a6] |
Generators |
[37:441:1] |
Generators of the group modulo torsion |
j |
4657463/13671 |
j-invariant |
L |
5.3807493938583 |
L(r)(E,1)/r! |
Ω |
0.57065197548017 |
Real period |
R |
2.3572815426421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998468087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992gb1 1953c1 41664k1 |
Quadratic twists by: -4 8 -3 |