Atkin-Lehner |
2- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96824l |
Isogeny class |
Conductor |
96824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-464948848 = -1 · 24 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,3205] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:71:1] [2:49:1] |
Generators of the group modulo torsion |
j |
-4000000/247 |
j-invariant |
L |
7.988938712697 |
L(r)(E,1)/r! |
Ω |
1.6399326125682 |
Real period |
R |
1.217876065552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1976b1 |
Quadratic twists by: -7 |