Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992ha |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-8541875284992 = -1 · 210 · 311 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,140600] |
[a1,a2,a3,a4,a6] |
Generators |
[25:405:1] |
Generators of the group modulo torsion |
j |
4499456/11442627 |
j-invariant |
L |
9.1909944586642 |
L(r)(E,1)/r! |
Ω |
0.57643961493116 |
Real period |
R |
1.99305233606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998798557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992br1 31248y1 41664dd1 |
Quadratic twists by: -4 8 -3 |