Atkin-Lehner |
2+ 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24920c |
Isogeny class |
Conductor |
24920 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
348192 |
Modular degree for the optimal curve |
Δ |
-4722741542968750000 = -1 · 24 · 513 · 73 · 893 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 1 4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59762,104708609] |
[a1,a2,a3,a4,a6] |
Generators |
[748:-21875:1] |
Generators of the group modulo torsion |
j |
-1475295776216487936/295171346435546875 |
j-invariant |
L |
6.3195702178423 |
L(r)(E,1)/r! |
Ω |
0.19914706912001 |
Real period |
R |
0.40683566851368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49840f1 124600n1 |
Quadratic twists by: -4 5 |