Atkin-Lehner |
2+ 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336n |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
4592113779024 = 24 · 37 · 195 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240307,45421774] |
[a1,a2,a3,a4,a6] |
Generators |
[282:38:1] |
Generators of the group modulo torsion |
j |
95919035229495666688/287007111189 |
j-invariant |
L |
3.5867710387709 |
L(r)(E,1)/r! |
Ω |
0.67357771064387 |
Real period |
R |
1.0649910120498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168g1 |
Quadratic twists by: -4 |