Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825g |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
1025325 = 33 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -1 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-285,1851] |
[a1,a2,a3,a4,a6] |
Generators |
[82:17:8] |
Generators of the group modulo torsion |
j |
3792752640/1519 |
j-invariant |
L |
13.00509856223 |
L(r)(E,1)/r! |
Ω |
2.7241379506477 |
Real period |
R |
1.1935058721167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825h1 48825l1 |
Quadratic twists by: -3 5 |