Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200g |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
336251250000 = 24 · 38 · 57 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2383,-34238] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:84:1] [-18:50:1] |
Generators of the group modulo torsion |
j |
5988775936/1345005 |
j-invariant |
L |
8.2289413481414 |
L(r)(E,1)/r! |
Ω |
0.69426999297854 |
Real period |
R |
5.9263265238055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600q1 9840j1 |
Quadratic twists by: -4 5 |