Atkin-Lehner |
2- 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558t |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
68598048555008 = 216 · 77 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13264,435635] |
[a1,a2,a3,a4,a6] |
Generators |
[125:785:1] |
Generators of the group modulo torsion |
j |
2193452910657/583073792 |
j-invariant |
L |
12.031648243433 |
L(r)(E,1)/r! |
Ω |
0.57686172010387 |
Real period |
R |
2.6071343833545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17794f1 |
Quadratic twists by: -7 |